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arxiv: 1412.3879 · v1 · pith:O4X2VRZHnew · submitted 2014-12-12 · 🧮 math.RT

Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula

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keywords theoremborel-weil-bottequivariantformulamckean-singercubicdiracindex
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After reviewing how the Borel-Weil-Bott theorem can be interpreted as an index theorem, we present a proof using Kostant's cubic Dirac operator and the equivariant McKean-Singer formula.

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