# Details of talk

Title | End-periodic $K$-homology and positive scalar curvature |
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Presenter | Michael Alexander Hallam (The University of Adelaide) |

Author(s) | Michael Hallam, Mathai Varghese |

Session | Category Theory, Algebraic Topology, K-Theory |

Time | 14:00:00 2017-12-13 |

Abstract | In this talk I will introduce a new variant of $K$-homology, called `end-periodic $K$-homology', that is tailored to a recent index theorem for end-periodic manifolds by Mrowka, Ruberman and Saveliev. The new $K$-homology groups elegantly encapsulate invariance properties of end-periodic rho invariants, and in fact are naturally isomorphic to the standard $K$-homology groups. The isomorphism preserves rho invariants, and so can be used to transfer results on positive scalar curvature for odd-dimensional manifolds to even-dimensional manifolds. This is joint work with Mathai Varghese. |