Abstract
In earlier articles, the authors introduced invariants for closed, oriented three-manifolds, defined using a variant of Lagrangian Floer homology in the symmetric products of Riemann surfaces. The aim of this article is to introduce invariants of oriented, smooth four-manifolds, built using these Floer homology groups. This four-dimensional theory also endows the corresponding three-dimensional theories with additional structure: an absolute grading of certain of its Floer homology groups.
Original language | English (US) |
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Pages (from-to) | 326-400 |
Number of pages | 75 |
Journal | Advances in Mathematics |
Volume | 202 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1 2006 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
Keywords
- Floer homology
- Four-manifolds