An index relation for the quilted Atiyah-Floer conjecture
نویسنده
چکیده
Given a closed, connected, oriented 3-manifold with positive first Betti number, one can define an instanton Floer cohomology group as well as a quilted Lagrangian Floer cohomology group. Each of these is equipped with a chain level grading. We show that the gradings agree.
منابع مشابه
Higher-rank instanton cohomology and the quilted Atiyah-Floer conjecture
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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