Nine papers have been published by Algebraic & Geometric Topology

(1) Algebraic & Geometric Topology 8 (2008) 343-379
    Volume and homology of one-cusped hyperbolic 3-manifolds
      by Marc Culler and Peter B Shalen
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p012.xhtml
    DOI: 10.2140/agt.2008.8.343

(2) Algebraic & Geometric Topology 8 (2008) 381-396
    On tight contact structures with negative maximal  
    twisting number on small Seifert manifolds
      by Paolo Ghiggini
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p013.xhtml
    DOI: 10.2140/agt.2008.8.381

(3) Algebraic & Geometric Topology 8 (2008) 397-433
    On non fundamental group equivalent surfaces
      by Mina Teicher and Michael Friedman
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p014.xhtml
    DOI: 10.2140/agt.2008.8.397

(4) Algebraic & Geometric Topology 8 (2008) 435-492
    Floer homology of families I
      by Michael Hutchings
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p015.xhtml
    DOI: 10.2140/agt.2008.8.435

(5) Algebraic & Geometric Topology 8 (2008) 493-539
    The Jacobi orientation and the two-variable elliptic genus
      by Matthew Ando, Christopher P French and Nora Ganter
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p016.xhtml
    DOI: 10.2140/agt.2008.8.493

(6) Algebraic & Geometric Topology 8 (2008) 541-562
    Rings of symmetric functions as modules over the Steenrod algebra
      by William M Singer
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p017.xhtml
    DOI: 10.2140/agt.2008.8.541

(7) Algebraic & Geometric Topology 8 (2008) 563-580
    Nielsen type numbers and homotopy minimal periods  
    for maps on 3-solvmanifolds
      by Jong Bum Lee and Xuezhi Zhao
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p018.xhtml
    DOI: 10.2140/agt.2008.8.563

(8) Algebraic & Geometric Topology 8 (2008) 581-601
    The cobordism class of the multiple points of immersions
      by Gabor Braun
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p019.xhtml
    DOI: 10.2140/agt.2008.8.581

(9) Algebraic & Geometric Topology 8 (2008) 603-608
    Knot Floer homology and Seifert surfaces
      by Andras Juhasz
    URL: http://www.msp.warwick.ac.uk/agt/2008/08-01/p020.xhtml
    DOI: 10.2140/agt.2008.8.603

Nine papers have been published by Geometry & Topology

(10) Geometry & Topology 12 (2008) 639-641
    Erratum to ``Stabilization for the automorphisms of
    free groups with boundaries''
      by Allen Hatcher and Nathalie Wahl
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p015.xhtml
    DOI: 10.2140/gt.2008.12.639

(11) Geometry & Topology 12 (2008) 643-711
    Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group
      by Alexander V Isaev
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p016.xhtml
    DOI: 10.2140/gt.2008.12.643

(12) Geometry & Topology 12 (2008) 713-745
    Intersection numbers with Witten's top Chern class
      by Sergey Shadrin and Dimitri Zvonkine
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p017.xhtml
    DOI: 10.2140/gt.2008.12.713

(13) Geometry & Topology 12 (2008) 747-918
    Instanton Floer homology with Lagrangian boundary conditions
      by Dietmar Salamon and Katrin Wehrheim
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p018.xhtml
    DOI: 10.2140/gt.2008.12.747

(14) Geometry & Topology 12 (2008) 919-940
    A symplectic manifold homeomorphic but not diffeomorphic to CP^2
    # 3CP^2-bar
      by Scott Baldridge and Paul Kirk
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p019.xhtml
    DOI: 10.2140/gt.2008.12.919

(15) Geometry & Topology 12 (2008) 941-980
    Legendrian knots, transverse knots and combinatorial Floer homology
      by Peter Ozsvath, Zoltan Szabo and Dylan Thurston
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p020.xhtml
    DOI: 10.2140/gt.2008.12.941

(16) Geometry & Topology 12 (2008) 981-985
    Essential curves in handlebodies and topological contractions
      by Viatchevslav Grines and François Laudenbach
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p021.xhtml
    DOI: 10.2140/gt.2008.12.981

(17) Geometry & Topology 12 (2008) 987-1032
    Topological Hochschild homology and cohomology of A_infty ring spectra
      by Vigleik Angeltveit
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p022.xhtml
    DOI: 10.2140/gt.2008.12.987

(18) Geometry & Topology 12 (2008) 1033-1090
    The shape of hyperbolic Dehn surgery space
      by Craig D Hodgson and Steven P Kerckhoff
    URL: http://www.msp.warwick.ac.uk/gt/2008/12-02/p023.xhtml
    DOI: 10.2140/gt.2008.12.1033

Abstracts follow

(1) Volume and homology of one-cusped hyperbolic 3-manifolds
      by Marc Culler and Peter B Shalen

Let M be a complete, finite-volume, orientable hyperbolic manifold
having exactly one cusp. If we assume that pi_1(M) has no subgroup
isomorphic to a genus-2 surface group, and that either (a)
dim_{Z_p}H_1(M;Z_p)ge 5 for some prime p, or (b) dim_{Z_2}H_1(M;Z_2)ge
4, and the subspace of H^2(M;Z_2) spanned by the image of the cup
product H^1(M;Z_2)times H^1(M;Z_2)to H^2(M;Z_2) has dimension at most
1, then vol(M)>5.06. If we assume that dim_{Z_2}H_1(M;Z_2)ge 7, and
that the compact core N of M contains a genus-2 closed incompressible
surface, then vol(M)>5.06. Furthermore, if we assume only that
dim_{Z_2}H_1(M;Z_2)ge 7, then vol(M)>3.66.

(2) On tight contact structures with negative maximal  
    twisting number on small Seifert manifolds
      by Paolo Ghiggini

We study some properties of transverse contact structures
on small Seifert manifolds, and we apply them to the classification
of tight contact structures on a family of small Seifert manifolds.

(3) On non fundamental group equivalent surfaces
      by Mina Teicher and Michael Friedman

In this paper we present an example of two polarized K3 surfaces
which are not Fundamental Group Equivalent (their fundamental
groups of the complement of the branch curves are not isomorphic;
denoted by FGE) but the fundamental groups of their related Galois
covers are isomorphic. For each surface, we consider a generic
projection to CP^2 and a degenerations of the surface into a
union of planes - the "pillow" degeneration for the non-prime
surface and the "magician" degeneration for the prime surface. We
compute the Braid Monodromy Factorization (BMF) of the branch
curve of each projected surface, using the related degenerations.
By these factorizations, we compute the above fundamental groups.
It is known that the two surfaces are not in the same component of
the Hilbert scheme of linearly embedded K3 surfaces. Here we prove
that furthermore they are not FGE equivalent, and thus they are
not of the same Braid Monodromy Type (BMT) (which implies that
they are not a projective deformation of each other).

(4) Floer homology of families I
      by Michael Hutchings

In principle, Floer theory can be extended to define homotopy
invariants of families of equivalent objects (eg Hamiltonian
isotopic symplectomorphisms, 3-manifolds, Legendrian knots, etc.)
parametrized by a smooth manifold B.  The invariant of a family
consists of a filtered chain homotopy type, which gives rise to a
spectral sequence whose E2 term is the homology of B with local
coefficients in the Floer homology of the fibers.  This filtered chain
homotopy type also gives rise to a ``family Floer homology'' to which
the spectral sequence converges.  For any particular version of Floer
theory, some analysis needs to be carried out in order to turn this
principle into a theorem.  This paper constructs the invariant in
detail for the model case of finite dimensional Morse homology, and
shows that it recovers the Leray--Serre spectral sequence of a smooth
fiber bundle.  We also generalize from Morse homology to Novikov
homology, which involves some additional subtleties.

(5) The Jacobi orientation and the two-variable elliptic genus
      by Matthew Ando, Christopher P French and Nora Ganter

Let E be an elliptic spectrum with elliptic curve C.  We show that the
sigma orientation of Ando, Hopkins and Strickland [Invent. Math 146
(2001) 595-687] and Hopkins [Proceedings of the ICM 1-2 (1995)
554-565] gives rise to a genus of SU-manifolds taking its values in
meromorphic functions on C.  As C varies we find that the genus is a
meromorphic arithmetic Jacobi form.  When C is the Tate elliptic curve
it specializes to the two-variable elliptic genus studied by many.  We
also show that this two-variable genus arises as an instance of the
S^1-equivariant sigma orientation.

(6) Rings of symmetric functions as modules over the Steenrod algebra
      by William M Singer

We write P^{otimes s} for the polynomial ring on s letters over the
field Z/2, equipped with the standard action of Sigma_s, the symmetric
group on s letters.  This paper deals with the problem of determining
a minimal set of generators for the invariant ring (P^{otimes
s})^{Sigma_s} as a module over the Steenrod algebra A.  That is, we
would like to determine the graded vector spaces Z/2
otimes_{A}(P^{otimes s})^{Sigma_s}.  Our main result is stated in
terms of a ``bigraded Steenrod algebra'' H.  The generators of this
algebra H, like the generators of the classical Steenrod algebra St,
satisfy the Adem relations in their usual form.  However, the Adem
relations for the bigraded Steenrod algebra are interpreted so that
Sq^0 is not the unit of the algebra; but rather, an independent
generator.  Our main work is to assemble the duals of the vector
spaces Z/2 otimes_{A}(P^{otimes s})^{Sigma_s}, for all s >= 0, into a
single bigraded vector space and to show that this bigraded object has
the structure of an algebra over H.

(7) Nielsen type numbers and homotopy minimal periods  
    for maps on 3-solvmanifolds
      by Jong Bum Lee and Xuezhi Zhao

For all continuous maps on 3--solvmanifolds, we give explicit
formulas for a complete computation of the Nielsen type numbers
NP_n(f) and N\Phi_n(f). The most general cases were explored by
Heath and Keppelmann [Topology Appl. 76 (1997) 217--247] and the
complementary part is studied in this paper. While studying the
homotopy minimal periods of all maps on 3--solvmanifolds, we
give a complete description of the sets of homotopy minimal periods
of all such maps, including a correction to Jezierski, Kedra and
Marzantowicz's results in [Topology Appl. 144 (2004) 29--49].

(8) The cobordism class of the multiple points of immersions
      by Gábor Braun

Using generating functions, we derive a multiple point formula for
every generic immersion between even dimensional oriented manifolds.
This produces explicit formulas for the signature and Pontrjagin
numbers of the multiple point manifolds.  The formulas take a
particular simple form in many special cases, eg when the immersion is
nullhomotopic, we recover Szucs's formulas in
[Proc. Amer. Math. Soc. 126 (1998) 1873-1882].  They also include
Hirzebruch's virtual signature formula in "Topological methods in
algebraic geometry".

(9) Knot Floer homology and Seifert surfaces
      by Andras Juhasz

Let K be a knot in S^3 of genus g and let n>0. We show that
if  rank(widehat{HFK}(K,g)) < 2^{n+1} (where widehat{HFK}
denotes knot Floer homology), in particular if K is an alternating
knot such that the leading coefficient a_g of its Alexander
polynomial satisfies |a_g| <2^{n+1}, then K has at most n
pairwise disjoint nonisotopic genus g Seifert surfaces. For n=1
this implies that K has a unique minimal genus Seifert surface up
to isotopy.

(10) Erratum to ``Stabilization for the automorphisms of
     free groups with boundaries''
      by Allen Hatcher and Nathalie Wahl

We correct the proof of Theorem 4.1 in our paper "Stabilization for
the automorphisms of free groups with boundaries" [Geom. Topol. 9
(2005) 1295-1336].

(11) Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism group
      by Alexander V Isaev

In this paper we determine all Kobayashi-hyperbolic 2--dimensional complex
manifolds for which the group of holomorphic automorphisms has dimension 3.
This work concludes a recent series of papers by the author on the
classification of hyperbolic n-dimensional manifolds, with automorphism
group of dimension at least n^2-1, where n >= 2.

(12) Intersection numbers with Witten's top Chern class
      by Sergey Shadrin and Dimitri Zvonkine

Witten's top Chern class is a particular cohomology class on the
moduli space of Riemann surfaces endowed with r-spin structures.
It plays a key role in Witten's conjecture relating to the intersection
theory on these moduli spaces.

Our first goal is to compute the integral of Witten's class over
the so-called double ramification cycles in genus~1. We obtain
a simple closed formula for these integrals.

This allows us, using the methods of the first author
[Int. Math. Res. Not. 38 (2003) 2051-2094], to find an algorithm for
computing the intersection numbers of the Witten class with powers of
the psi-classes over any moduli space of r-spin structures, in short,
all numbers involved in Witten's conjecture.

(13) Instanton Floer homology with Lagrangian boundary conditions
      by Dietmar Salamon and Katrin Wehrheim

In this paper we define instanton Floer homology groups for a pair
consisting of a compact oriented 3-manifold with boundary and a
Lagrangian submanifold of the moduli space of flat SU(2)-connections
over the boundary. We carry out the construction for a general class
of irreducible, monotone boundary conditions.  The main examples of
such Lagrangian submanifolds are induced from a disjoint union of
handle bodies such that the union of the 3-manifold and the handle
bodies is an integral homology 3-sphere. The motivation for
introducing these invariants arises from our program for a proof of
the Atiyah-Floer conjecture for Heegaard splittings. We expect that
our Floer homology groups are isomorphic to the usual Floer homology
groups of the closed 3-manifold in our main example and thus can be
used as a starting point for an adiabatic limit argument.

(14) A symplectic manifold homeomorphic but not diffeomorphic to  
     CP^2 # 3CP^2-bar
      by Scott Baldridge and Paul Kirk

In this article we construct a minimal symplectic 4-manifold  and
prove it is homeomorphic but not diffeomorphic to
CP2 # 3CP2bar.

(15) Legendrian knots, transverse knots and combinatorial Floer homology
      by Peter Ozsv&aacute;th, Zolt&aacute;n Szab&oacute; and Dylan Thurston

  Using the combinatorial approach to knot Floer homology, we define
  an invariant for Legendrian knots (or links) in the three-sphere,
  with values in knot Floer homology. This invariant can also
  be used to construct an invariant of transverse knots.

(16) Essential curves in handlebodies and topological contractions
      by Viatchevslav Grines and Francois Laudenbach

If X is a compact set, a topological contraction is a self-embedding f
such that the intersection of the successive images f^k(X), k>0,
consists of one point.  In dimension 3, we prove that there are smooth
topological contractions of the handlebodies of genus at least 2 whose
image is essential.

(17) Topological Hochschild homology  and cohomology of A_infty ring spectra
      by Vigleik Angeltveit

Let A be an A_infty ring spectrum. We use the description from our
preprint [math.AT/0612165] of the cyclic bar and cobar construction to
give a direct definition of topological Hochschild homology and
cohomology of A using the Stasheff associahedra and another family of
polyhedra called cyclohedra. This construction builds the maps making
up the A_infty structure into THH(A), and allows us to study how
THH(A) varies over the moduli space of A_infty structures on A.

As an example, we study how topological Hochschild cohomology of Morava K-theory varies over the moduli space of A_infty structures and show that in the generic case, when a certain matrix describing the noncommutativity of the multiplication is invertible, topological Hochschild cohomology of 2-periodic Morava K-theory is the corresponding Morava E-theory. If the A_infty structure is ``more commutative'', topological Hochschild cohomology of Morava K-theory is some extension of Morava E-theory.

(18) The shape of hyperbolic Dehn surgery space
      by Craig D Hodgson and Steven P Kerckhoff

In this paper we develop a new theory of infinitesimal harmonic
deformations for compact hyperbolic $3$--manifolds with ``tubular
boundary''. In particular, this applies to complements of tubes of
radius at least arctanh(1/\sqrt{3}), roughly 0.65848 around the
singular set of hyperbolic cone manifolds, removing the previous
restrictions on cone angles.

We then apply this to obtain a new quantitative version of Thurston's
hyperbolic Dehn surgery theorem, showing that all generalized Dehn
surgery coefficients outside a disc of ``uniform'' size yield
hyperbolic structures. Here the size of a surgery coefficient is
measured using the Euclidean metric on a horospherical cross section
to a cusp in the complete hyperbolic metric, rescaled to have area 1.
We also obtain good estimates on the change in geometry (eg volumes
and core geodesic lengths) during hyperbolic Dehn filling.