[cmi-seminar-external] Colloquium by Professor Fantechi 22/01/'14 at 15:30 at CMI

[ram...@cmi.ac.in]

Colloquium by Professor Fantechi 22/01/2014 at 15:30 at CMI

An introduction to Donaldson-Thomas invariants

Professor Barbara Fantechi
SISSA, Trieste, Italy

Abstract: We recall Thomas' original definition of the Donaldson-Thomas
invariants in the rank one case, introduce the notion of a symmetric
obstruction theory and show that the D-T moduli spaces have one. We then
present Behrend's theorem which allows one to define D-T invariants for
non-compact Calabi-Yau three-folds. If time permits we will sketch the
notion of derived symplectic stack and the categorification, due to Joyce
et.al., of the D-T invariants.


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