A combinatorial proof of the homology cobordism classification of lens spaces

Margaret Doig, Stephan Wehrli

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.

ArXiv: 1505.06970