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Holomorphic triangles and invariants for smooth four-manifolds
by
Peter Ozsváth
,
Zoltán Szabó
| Citations: | 124 - 24 self |
BibTeX
@MISC{Ozsváth_holomorphictriangles,
author = {Peter Ozsváth and Zoltán Szabó},
title = {Holomorphic triangles and invariants for smooth four-manifolds},
year = {}
}
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Abstract
Abstract. The aim of this article is to introduce invariants of oriented, smooth, closed four-manifolds, built using the Floer homology theories defined in [8] and [12]. 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. 1.
