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Witten genus and vanishing results on complete intersections

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Publication:961002
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DOI10.1016/j.crma.2010.02.005zbMath1210.53054OpenAlexW2009693265MaRDI QIDQ961002

Qingtao Chen, Fei Han, Weiping Zhang

Publication date: 29 March 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.02.005

zbMATH Keywords

Witten genus\(\text{spin}^c\) manifolds\(\text{string}^c\) manifolds


Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Spin and Spin({}^c) geometry (53C27) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)


Related Items

Chiral differential operators on supermanifolds, Vanishing theorems of generalized Witten genus for generalized complete intersections in flag manifolds, String^{𝑐} structures and modular invariants



Cites Work

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  • Generalized Witten genus and vanishing theorems
  • Orientation and string structures on loop space
  • Cobordism and Rokhlin congruences
  • On modular invariance and rigidity theorems
  • Modular invariance characteristic numbers and \(\eta\) invariants
  • The index of elliptic operators. IV, V
  • Riemann-Roch theorems for differentiable manifolds
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