A combinatorial proof of the homology cobordism classification of lens spaces

Abstract

It follows implicitly from recent work in Heegaard Floer theory that lens spaces are homology cobordant exactly when they are oriented homeomorphic. We provide a new combinatorial proof using the Heegaard Floer d-invariants, which themselves may be defined combinatorially for lens spaces.

8 pages, 1 figure

References in corpus (1)

• Surgery formula for the renormalized Euler characteristic of Heegaard Floer homology

Cited by in corpus (1)

• Distance one lens space fillings and band surgery on the trefoil knot