Higher Type Adjunction Inequalities in Seiberg-Witten Theory
arXiv:math/0005268
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.
50 pages, Submitted for publication