A vanishing theorem for the Mathai-Zhang index

DOI10.1090/proc/16038zbMath1503.53107OpenAlexW4212982793WikidataQ115039733 ScholiaQ115039733MaRDI QIDQ5869801

Xin Zhang

Publication date: 29 September 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16038

zbMATH Keywords

\(G\)-equivariant elliptic operatorsMathai-Zhang index

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27)

Cites Work

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• A note on the Lichnerowicz vanishing theorem for proper actions
• Positive scalar curvature and an equivariant Callias-type index theorem for proper actions
• Positive scalar curvature and Poincaré duality for proper actions
• Geometric quantization for proper actions

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