On mapping cones of Seifert fibered surgeries

Abstract

Using the mapping cone of a rational surgery, we give several obstructions for Seifert fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four-ball genus of the knot.

13 pages

References in corpus (6)

• Floer homology and knot complements
• Knot Floer homology and the four-ball genus
• On the Floer homology of plumbed three-manifolds
• Holomorphic disks and three-manifold invariants: properties and applications
• Cosmetic surgeries on knots in $S^3$
• The lens space realization problem

Cited by in corpus (2)

• Mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in $S^3$
• Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery