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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 003, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.003 (Mi sigma680) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Supersymmetric proof of the Hirzebruch–Riemann–Roch theorem for non-Kähler manifolds

Andrei V. Smilga

SUBATECH, Université de Nantes, 4 rue Alfred Kastler, BP 20722, Nantes 44307, France
Full-text PDF (382 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2012.003
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.
Keywords: index, Dolbeault, supersymmetry.
Received: November 10, 2011; in final form January 4, 2012; Published online January 8, 2012
Bibliographic databases:
Document Type: Article
MSC: 53C55; 53C80
Language: English
Citation: Andrei V. Smilga, “Supersymmetric proof of the Hirzebruch–Riemann–Roch theorem for non-Kähler manifolds”, SIGMA, 8 (2012), 003, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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