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2 results for “LT-actions”

Topological Aspects of the Equivariant Index Theory of Infinite-Dimensional LT-Manifoldsmath.KT

This paper explores topological aspects of index theory for infinite-dimensional manifolds.

problem Formulating index theory for infinite-dimensional manifolds with LT-actions.

method Introducing RKK-theory and constructing assembly maps for proper LT-spaces.

result Formulation of infinite-dimensional Poincaré duality and assembly maps.

infinite-dimensional manifolds LT-actions index theory KK-theory Poincaré duality

2020-07-17abs ↗pdf ↗

An Analytic LT-equivariant Index and Noncommutative Geometrymath.DG

Let $T$ be a circle and $LT$ be its loop group. Let $\mathcal{M}$ be an infinite dimensional manifold equipped with a nice $LT$ -action. We construct an analytic $LT$ -equivariant index for $\mathcal{M}$ , and justify it in terms of noncommutative geometry. More precisely, we construct a Hilbert space $\mathcal{H}$ consis…

2017-01-21abs ↗pdf ↗