On the first Vafa-Witten bound for two-dimensional tori

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This article discusses the first Vafa-Witten bound for two-dimensional tori.

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16 p.

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Anghel, Nicolae 2000.

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This article is part of the collection entitled: UNT Scholarly Works and was provided by UNT College of Arts and Sciences to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 79 times . More information about this article can be viewed below.

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This article discusses the first Vafa-Witten bound for two-dimensional tori.

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16 p.

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Abstract: In this paper we explicitly compute the first Vafa-Witten bound for a two-dimensional torus, namely the best uniform upper bound for the first eigenvalue of the family of twisted (by arbitrary vector potentials) Dirac operators on a flat two-torus. Starting with an arbitrary flat metric we give either an exact answer or a precise algorithm for producing an answer. As a by-product we develop a constructive way of implementing the projection map from the Poincaré upper half-plane onto the standard fundamental domain for its SL (2,Z)-action.

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  • Séminaires & Congrés, 2000, Paris: Société Mathématique de France, pp. 1-16

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  • Publication Title: Séminaires & Congrés
  • Volume: 4
  • Page Start: 1
  • Page End: 16
  • Peer Reviewed: Yes

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  • 2000

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  • July 24, 2013, 1:20 p.m.

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  • Nov. 18, 2014, 9:51 a.m.

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Anghel, Nicolae. On the first Vafa-Witten bound for two-dimensional tori, article, 2000; [Paris, France]. (digital.library.unt.edu/ark:/67531/metadc174733/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.