Higher Type Adjunction Inequalities in Seiberg-Witten Theory
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper, we derive new adjunction inequalities for embedded surfaces with non-negative self-intersection number in four-manifolds. These formulas are proved by using relations between Seiberg-Witten invariants which are induced from embedded surfaces. To prove these relations, we develop the relevant parts of a Floer theory for four-manifolds which bound circle-bundles over Riemann surfaces.
Cite
@article{arxiv.math/0005268,
title = {Higher Type Adjunction Inequalities in Seiberg-Witten Theory},
author = {Peter Ozsvath and Zoltan Szabo},
journal= {arXiv preprint arXiv:math/0005268},
year = {2007}
}
Comments
50 pages, Submitted for publication