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arXiv · 1612.02286

On traces of operators, associated with actions of compact Lie groups

A. Yu. Savin·B. Yu. Sternin
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Abstract

Given a pair $(M,X)$, where $X$ is a smooth submanifold in a closed smooth manifold $M$, we study the operation, which takes each operator $D$ on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace of $D$. More precisely, we study traces of operators, associated with actions of compact Lie groups on $M$. We show that traces of such operators are localized at special submanifolds in $X$ and study the structure of the traces on these submanifolds.

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A. Yu. Savin, B. Yu. Sternin. 2016-12-07. On traces of operators, associated with actions of compact Lie groups. https://doi.org/10.1007/s10958-020-04902-1

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