Floer theory and its topological applications
Geometric Topology
2015-08-04 v1 Differential Geometry
Symplectic Geometry
Abstract
We survey the different versions of Floer homology that can be associated to three-manifolds. We also discuss their applications, particularly to questions about surgery, homology cobordism, and four-manifolds with boundary. We then describe Floer stable homotopy types, the related Pin(2)-equivariant Seiberg-Witten Floer homology, and its application to the triangulation conjecture.
Cite
@article{arxiv.1508.00495,
title = {Floer theory and its topological applications},
author = {Ciprian Manolescu},
journal= {arXiv preprint arXiv:1508.00495},
year = {2015}
}
Comments
Notes based on the 14th Takagi Lectures at the University of Tokyo; to appear in the Japanese Journal of Mathematics