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arXiv · 1310.2969

Holomorphic polygons and smooth 4-manifold invariants

Jonathan D. Williams
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Abstract

Any smooth, closed oriented 4-manifold has a surface diagram of arbitrarily high genus g>2 that specifies it up to diffeomorphism. The goal of this paper is to prove the following statement: For any smooth, closed oriented 4-manifold M, there is a sequence of weak A-infinity algebras indexed by g, and the homotopy equivalence class of each entry of this sequence is a diffeomorphism invariant of M.

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Jonathan D. Williams. 2013-10-10. Holomorphic polygons and smooth 4-manifold invariants. https://arxiv.org/abs/1310.2969

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