The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques

Man Ho Ho

doi:10.1016/j.geomphys.2016.05.016

The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques

Man Ho Ho

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Citations (Scopus)

106 Downloads (Pure)

Abstract

In this paper we give a simplified proof of the flat Grothendieck–Riemann–Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern–Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.

Original language	English
Pages (from-to)	162-174
Number of pages	13
Journal	Journal of Geometry and Physics
Volume	107
DOIs	https://doi.org/10.1016/j.geomphys.2016.05.016
Publication status	Published - 1 Sept 2016

User-Defined Keywords

Eta form
Flat K-theory
Grothendieck–Riemann–Roch theorem

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10.1016/j.geomphys.2016.05.016

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title = "The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques",

abstract = "In this paper we give a simplified proof of the flat Grothendieck–Riemann–Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern–Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.",

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N2 - In this paper we give a simplified proof of the flat Grothendieck–Riemann–Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern–Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.

AB - In this paper we give a simplified proof of the flat Grothendieck–Riemann–Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern–Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.

KW - Eta form

KW - Flat K-theory

KW - Grothendieck–Riemann–Roch theorem

UR - https://www.scopus.com/pages/publications/84976423750

U2 - 10.1016/j.geomphys.2016.05.016

DO - 10.1016/j.geomphys.2016.05.016

M3 - Journal article

AN - SCOPUS:84976423750

SN - 0393-0440

VL - 107

SP - 162

EP - 174

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques

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