de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics

DOI10.1063/1.532242zbMath1001.81030arXivhep-th/9802053OpenAlexW2066410843MaRDI QIDQ4260461

Kazuto Oshima

Publication date: 3 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9802053

zbMATH Keywords

de Rham cohomologyWitten's Morse theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Supersymmetry and quantum mechanics (81Q60) de Rham theory in global analysis (58A12)

Cites Work

• Witten complex and supersymmetric quantum mechanics on SO(3)
• de Rham cohomology of SO(n) by supersymmetric quantum mechanics

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