Review of localization in geometry
High Energy Physics - Theory
2017-10-25 v3 Mathematical Physics
math.MP
Abstract
Review of localization in geometry: equivariant cohomology, characteristic classes, Atiyah-Bott formula, Atiyah-Singer equivariant index formula, Mathai-Quillen formalism
Keywords
Cite
@article{arxiv.1608.02954,
title = {Review of localization in geometry},
author = {Vasily Pestun},
journal= {arXiv preprint arXiv:1608.02954},
year = {2017}
}
Comments
This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf