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Twisted Dirac Index and Applications to Characters

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Affine, Vertex and W-algebras

Part of the book series: Springer INdAM Series ((SINDAMS,volume 37))

Abstract

We present recent joint work with Peter Trapa on the notion of twisted Dirac index and its applications to (twisted) characters and to extensions of modules in a short and informal way. We also announce some further generalizations with applications to Lefschetz numbers and automorphic forms.

D. Barbasch was supported by NSA grant H98230-16-1-0006. P. Pandžić was supported by the QuantiXLie Center of Excellence, a project cofinanced by the Croatian Government and European Union through the European Regional Development Fund—the Competitiveness and Cohesion Operational Programme (KK.01.1.1.01.0004).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, 14850, USA

    Dan Barbasch

  2. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Pavle Pandžić

Authors
  1. Dan Barbasch
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  2. Pavle Pandžić
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Correspondence to Pavle Pandžić .

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Editors and Affiliations

  1. Faculty of Science and Department of Mathematics, University of Zagreb, Zagreb, Croatia

    Dražen Adamović

  2. Department of Mathematics, Sapienza University of Rome, Rome, Italy

    Paolo Papi

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Barbasch, D., Pandžić, P. (2019). Twisted Dirac Index and Applications to Characters. In: Adamović, D., Papi, P. (eds) Affine, Vertex and W-algebras. Springer INdAM Series, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-030-32906-8_2

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