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Atiyah–Bott index on stratified manifolds

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Abstract

We define the Atiyah–Bott index on stratified manifolds and propose a formula for it in topological terms. Moreover, we give examples of the calculation of the Atiyah–Bott index for geometric operators on manifolds with edges.

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Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Science, Moscow, Russia

    V. E. Nazaikinskii

  2. Independent University of Moscow, Moscow, Russia

    A. Yu. Savin & B. Yu. Sternin

Authors
  1. V. E. Nazaikinskii
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  2. A. Yu. Savin
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  3. B. Yu. Sternin
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Corresponding author

Correspondence to V. E. Nazaikinskii.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 34, Proceedings of KROMSH, 2009.

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Nazaikinskii, V.E., Savin, A.Y. & Sternin, B.Y. Atiyah–Bott index on stratified manifolds. J Math Sci 170, 229–237 (2010). https://doi.org/10.1007/s10958-010-0081-0

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  • DOI: https://doi.org/10.1007/s10958-010-0081-0

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