Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces
Geometric Topology
2007-05-23 v2 Symplectic Geometry
Abstract
We study the invariants of surfaces in 4-manifolds extracted from the Seiberg-Witten and the Ozsvath-Szabo invariants of their fiber sums with auxiliary Lefschetz fibrations. Such invariants involve relative Spin_c structures and can be treated as refinements of the usual Seiberg-Witten and Ozsvath-Szabo invariants. We prove for instance the adjunction inequality for membranes, which estimates their genus.
Keywords
Cite
@article{arxiv.math/0401345,
title = {Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces},
author = {Sergey Finashin},
journal= {arXiv preprint arXiv:math/0401345},
year = {2007}
}
Comments
18 pages, 1 figure, editing: a few improvements, more detailed proofs in section 3