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

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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

Scopus Subject Areas

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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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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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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.

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KW - Flat K-theory

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DO - 10.1016/j.geomphys.2016.05.016

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JO - Journal of Geometry and Physics

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ER -

The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques

Abstract

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