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Motives and periods in Bianchi IX gravity models / Wentao Fan; Farzad Fathizadeh; Matilde Marcolli; Farzad Fathi Zadeh

Letters in Mathematical Physics, Volume: 108

Swansea University Author: Farzad, Fathi Zadeh

Abstract

In this paper we show that the heat coefficients of the Dirac-Laplacian of SU(2)-invariant Bianchi IX metrics are periods of motives of complements in affine spaces of unions of quadrics and hyperplanes.

Published in: Letters in Mathematical Physics
ISBN: 1573-0530
ISSN: 0377-9017 1573-0530
Published: Springer 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa40164
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Abstract: In this paper we show that the heat coefficients of the Dirac-Laplacian of SU(2)-invariant Bianchi IX metrics are periods of motives of complements in affine spaces of unions of quadrics and hyperplanes.
Item Description: Joint with Wentao Fan and Matilde Marcolli
Keywords: Bianchi IX gravity model, Dirac Laplacian, heat kernel expansion, periods, motives
College: College of Science