Ooguri-Vafa invariants of disk degeneracies for brane I or brane II in the O(K) -> P^2 geometry.
Robert McKone
Hello SeqFans,
I have stumbled across a particular set of sequences all with the same name, being "Ooguri-Vafa invariants of disk degeneracies for brane I or brane II in the O(K) -> P^2 geometry." Which are these sequences:
A061628, A061629, A061630, A061631, A061632, A061633, A061634, A061635, A061636, A061637.
I am currently in a draft of A061628 for which the draft started a few days ago, but that interest started a few weeks back.
A comment by M. F. Hasler on Nov 03 2025 was made in A061637 saying that “It would be nice to have a more precise description and/or definition.” However, I only have an edit limit of 3 and I would like to fix the NAME of these 10 sequences so that they are unique, also add my MATHEMATICA code, add more DATA and b-files into all of these sequences.
What I have been able to come up with for a better name is:
"Ooguri-Vafa invariants of disk degeneracies with boundary class m in the O(K) -> P^2 geometry (brane I or II)."
and also a description of the sort:
"""
a(n) is the corrected signed count attached to holomorphic disks whose boundary lies on the chosen Lagrangian D-brane and has boundary class m.
Branes I and II are the two Z_3-related phases of the same brane, so they give the same sequence here.
"""
After I get these done, I would naturally be moving onto Brane III and the P^1 x P^1 geometry, but first just these 10 sequences.
If anyone could help me with this, it would be amazing thanks. I am not asking to raise my limit, just to get all of these sequences into an editable state that I can add to. Also, I am asking this here because I do not know where else to ask.
Sean A. Irvine
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