Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds
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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.003 |
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doaj-41da0c37825d483ba32f2ee841d0ba8d2020-11-25T00:50:02ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-01-018003Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler ManifoldsAndrei V. SmilgaWe 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.http://dx.doi.org/10.3842/SIGMA.2012.003indexDolbeaultsupersymmetry |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Andrei V. Smilga |
| spellingShingle |
Andrei V. Smilga Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds Symmetry, Integrability and Geometry: Methods and Applications index Dolbeault supersymmetry |
| author_facet |
Andrei V. Smilga |
| author_sort |
Andrei V. Smilga |
| title |
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds |
| title_short |
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds |
| title_full |
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds |
| title_fullStr |
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds |
| title_full_unstemmed |
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds |
| title_sort |
supersymmetric proof of the hirzebruch-riemann-roch theorem for non-kähler manifolds |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2012-01-01 |
| description |
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. |
| topic |
index Dolbeault supersymmetry |
| url |
http://dx.doi.org/10.3842/SIGMA.2012.003 |
| work_keys_str_mv |
AT andreivsmilga supersymmetricproofofthehirzebruchriemannrochtheoremfornonkahlermanifolds |
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1725249735470612480 |