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arXiv · 1311.5609

Higher-rank instanton cohomology and the quilted Atiyah-Floer conjecture

David L. Duncan
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Abstract

Given a closed, connected, oriented 3-manifold with positive first Betti number, one can define an instanton Floer group as well as a quilted Lagrangian Floer group. The quilted Atiyah-Floer conjecture states that these cohomology groups are isomorphic. We initiate a program for proving this conjecture.

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David L. Duncan. 2013-11-21. Higher-rank instanton cohomology and the quilted Atiyah-Floer conjecture. https://arxiv.org/abs/1311.5609

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