Doman Takata

activity

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 2017Show all

2 papers · 1 filter

math.KT2017

LT-equivariant Index from the Viewpoint of KK-theory

Doman Takata

Let $T$ be a circle group, and $L T$ be its loop group. We hope to establish an index theory for infinite-dimensional manifolds which $L T$ acts on, including Hamiltonian $L T$ -spaces…

math.DG2017

An Analytic LT-equivariant Index and Noncommutative Geometry

Doman Takata

Let $T$ be a circle and $L T$ be its loop group. Let $M$ be an infinite dimensional manifold equipped with a nice $L T$ -action. We construct an analytic $L T$ -equivariant in…