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A (mostly) combinatorial proof of the homology cobordism classification of lens spaces
by
Stephan Wehrli
Syracuse University
Coauthors: Margaret Doig
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 and mostly combinatorial proof using the Heegaard Floer d-invariants, which themselves may be defined combinatorially for lens spaces.
Date received: November 17, 2015
Copyright © 2015 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cblw-30.