Holomorphic triangles and invariants for smooth four-manifolds

Details Holomorphic triangles and invariants for smooth four-manifolds Holomorphic triangles and invariants for smooth four-manifolds

2001-10-16

arxiv.org/abs/math/0110169v2

Mathematics

Symplectic Geometry

73 pages, 6 figures

Scientific paper

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.

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