2000/06/26 by Peter Ozsváth, Peter Ozsvath, Zoltán Szabó +3
Mathematics · #14H51 #57Q10 #57R57 #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.AG #math.GT #msc:14H51 #msc:57Q10 #msc:57R57
paper · pdf · doi:10.48550/arxiv.math/0006192
51 pages; 1 figure
arxiv created 2000/06/26 · openalex publication_date 2000/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study an invariant for oriented three-manifolds with b1>0, which is defined using Heegaard splittings and the theta divisor of a Riemann surface. The paper is divided into two parts, the first of which gives the definition of the invariant, and the second of which identifies it with more classical (torsion) invariants of three-manifolds. Its close relationship with Seiberg-Witten theory is also addressed.