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Motives: an introductory survey for physicists

Rej, Abhijnan and Marcolli, Matilde (2009) Motives: an introductory survey for physicists. . (Submitted)

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We survey certain accessible aspects of Grothendieck’s theory of motives in arithmetic algebraic geometry for mathematical physicists, focussing on areas that have recently found applications in quantum field theory. An appendix (by Matilde Marcolli) sketches further connections between motivic theory and theoretical physics.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Additional Information:(Submitted on 23 Jul 2009 (v1), last revised 1 Oct 2009 (this version, v2). Part of this work was done while the author was employed by the Clay Mathematics Institute as a Junior Research Scholar.
Subject Keywords:motives, K-theory, Grothendieck ring, algebraic cycles, motivic zeta functions, Feynman graphs, tensor categories, gauge theory, dualities, mirror symmetry
Classification Code:1991 MSC: 19E15, 14C25, 81T18, 18F30
Record Number:CaltechAUTHORS:20170712-090534368
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78996
Deposited By: Ruth Sustaita
Deposited On:12 Jul 2017 17:17
Last Modified:03 Oct 2019 18:14

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