The Rohlin invariant and Z/2-valued invariants of homology spheres

Published 22 Oct 2020 in math.GT and math.AT | (2010.11766v2)

Abstract: In this paper we prove that the Rohlin invariant is the unique invariant inducing a homomorphism on the Torelli group. Using this result we generalize the construction of invariants of homology $3$-spheres from families of trivial 2-cocycles on the Torelli group given by Pitsch to include invariants with values on an abelian group with $2$-torsion.

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Authors (1)

Ricard Riba

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