Title	Skein valued curve counts, basic holomorphic disks, and HOMFLY homology
Creator	Ekholm, Tobias
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-05-18T10:01
Description	We describe invariant counts of holomorphic curves in a Calabi-Yau 3-fold with boundary in a Lagrangian in the skein module of that Lagrangian. We show how to turn this into concrete counts for the toric brane in the resolved conifold. This leads to a notion of basic holomorphic disks for any knot conormal in the resolved conifold. These basic holomorphic disks seem to generate HOMFLY homology in the basic representation. We give a conjectural description of similar holomorphic object generating parts of higher symmetric representation HOMFLY homology and verify some predictions coming from this conjecture in examples.
Extent	70.0 minutes
Subject	Mathematics; Category Theory; Homological Algebra; Quantum Theory; Algebraic Topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Uppsala University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2023-10-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437284
URI	http://hdl.handle.net/2429/86275
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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