Holomorphic triangles and invariants for smooth four-manifolds
Symplectic Geometry
2007-05-23 v2 Geometric Topology
Abstract
The aim of this article is to introduce invariants of oriented, smooth, closed four-manifolds, built using the Floer homology theories defined in two earlier papers (math.SG/0101206 and math.SG/0105202). This four-dimensional theory also endows the corresponding three-dimensional theories with additional structure: an absolute grading of certain of its Floer homology groups. The cornerstone of these constructions is the study of holomorphic disks in the symmetric products of Riemann surfaces.
Cite
@article{arxiv.math/0110169,
title = {Holomorphic triangles and invariants for smooth four-manifolds},
author = {Peter S Ozsvath and Zoltan Szabo},
journal= {arXiv preprint arXiv:math/0110169},
year = {2007}
}
Comments
73 pages, 6 figures