Surgery formula for the renormalized Euler characteristic of Heegaard Floer homology

Abstract

We prove a surgery formula for the renormalized Euler characteristic of Ozsvath and Szabo. Equality between this Euler cahracteristic and the Seiberg-Witten invariant follows for rational homology three-spheres.

11 pages, sign conventions explained

References in corpus (3)

• The theta divisor and the Casson-Walker invariant
• Equivariant Seiberg-Witten Floer Homology
• Seiberg-Witten invariants of rational homology spheres

Cited by in corpus (12)

• Cosmetic surgeries on knots in $S^3$
• Turaev torsion, definite 4-manifolds, and quasi-alternating knots
• Lattice cohomology and Seiberg-Witten invariants of normal surface singularities
• On the Frøyshov invariant and monopole Lefschetz number
• Lattice cohomology of normal surface singularities
• Exceptional Cosmetic surgeries on $S^3$
• On Plumbed L-spaces
• A combinatorial proof of the homology cobordism classification of lens spaces
• Lens spaces given from L-space homology 3-spheres
• The renormalized Euler Characteristic and L-space surgeries
• The Seiberg-Witten invariants of negative definite plumbed 3-manifolds
• On rational cuspidal projective plane curves