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Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds

Abstract : We present the proof of the HRR theorem for a generic complex compact manifold by evaluating the functional integral for the Witten index of the appropriate supersymmetric quantum mechanical system.
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http://hal.in2p3.fr/in2p3-00667200
Contributor : Dominique Girod <>
Submitted on : Tuesday, February 7, 2012 - 10:51:34 AM
Last modification on : Thursday, February 7, 2019 - 4:56:00 PM

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A.V. Smilga. Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds. Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2012, 8, pp.003. ⟨10.3842/SIGMA.2012.003⟩. ⟨in2p3-00667200⟩

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