70 citations · 157 across the 11 of their papers we have counts for
4 papers · 1 filter
The theta divisor and the Casson-Walker invariant
Peter Ozsvath, Zoltan Szabo
We use Heegaard decompositions and the theta divisor on a Riemannian surface to define a three-manifold invariant for rational homology three-spheres. This invariant is defined on…
The Theta Divisor and Three-Manifold Invariants
Peter Ozsvath, Zoltan Szabo
In this paper we study an invariant for oriented three-manifolds with , which is defined using Heegaard splittings and the theta divisor of a Riemann surface. The paper is d…
On Embedding Circle-Bundles in Four-Manifolds
Peter Ozsvath, Zoltan Szabo
We demonstrate an obstruction to finding certain splittings of four-manifolds along sufficiently twisted circle bundles over Riemann surfaces, arising from Seiberg-Witten theory. T…
Higher Type Adjunction Inequalities in Seiberg-Witten Theory
Peter Ozsvath, Zoltan Szabo
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 relation…