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20152026
most citedAn infinite-dimensional index theorem and the Higson-Kasparov-Trout algebra

2 citations · 2 across the 6 of their papers we have counts for

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Showing 2022Show all

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math.KT2022

An Index Theorem for Loop Spaces

Doman Takata

We formulate and prove an index theorem for loop spaces of compact manifolds in the framework of -theory. It is a strong candidate for the noncommutative geometrical definition…

math.KT2022

Seiberg-Witten theory on finite covering spaces of spin 4-manifolds

Tsuyoshi Kato, Doman Takata

We compute the equivariant Bauer-Furuta degree, when a finite group acts freely on a spin 4-manifold. In the case when the group is cyclic of order power of two, Bryan gave a formu…