Holomorphic polygons and smooth 4-manifold invariants
Symplectic Geometry
2013-10-14 v1
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.
Cite
@article{arxiv.1310.2969,
title = {Holomorphic polygons and smooth 4-manifold invariants},
author = {Jonathan D. Williams},
journal= {arXiv preprint arXiv:1310.2969},
year = {2013}
}
Comments
31 pages. Preliminary: Comments welcome