Riemann–roch for real varieties

Paul Bressler; Mikhail Kapranov; Boris Tsygan; Eric Vasserot

doi:10.1007/978-0-8176-4745-2_4

Riemann–roch for real varieties

Paul Bressler^*, Mikhail Kapranov, Boris Tsygan, Eric Vasserot

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

4 Scopus citations

Abstract

We prove a Riemann–Roch type result for any smooth family of smooth oriented compact manifolds. It describes the class of the conjectural higher deter-minantal gerbe associated to the fibers of the family.

Original language	English (US)
Title of host publication	Progress in Mathematics
Publisher	Springer Basel
Pages	125-164
Number of pages	40
DOIs	https://doi.org/10.1007/978-0-8176-4745-2_4
State	Published - 2009

Publication series

Name	Progress in Mathematics
Volume	269
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Funding

The second author would like to acknowledge support from NSF, Université Paris-7, and Max-Planck Institut für Mathematik. The fourth author is partially supported by the NSF.

Keywords

Cyclic homology
Determinantal gerbe
Lie algebroid
Riemann–Roch

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/978-0-8176-4745-2_4

Cite this

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title = "Riemann–roch for real varieties",

abstract = "We prove a Riemann–Roch type result for any smooth family of smooth oriented compact manifolds. It describes the class of the conjectural higher deter-minantal gerbe associated to the fibers of the family.",

keywords = "Cyclic homology, Determinantal gerbe, Lie algebroid, Riemann–Roch",

author = "Paul Bressler and Mikhail Kapranov and Boris Tsygan and Eric Vasserot",

note = "Funding Information: The second author would like to acknowledge support from NSF, Universit{\'e} Paris-7, and Max-Planck Institut f{\"u}r Mathematik. The fourth author is partially supported by the NSF. Publisher Copyright: {\textcopyright} Springer Science+Business Media, LLC 2009.",

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language = "English (US)",

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T1 - Riemann–roch for real varieties

AU - Bressler, Paul

AU - Kapranov, Mikhail

AU - Tsygan, Boris

AU - Vasserot, Eric

N1 - Funding Information: The second author would like to acknowledge support from NSF, Université Paris-7, and Max-Planck Institut für Mathematik. The fourth author is partially supported by the NSF. Publisher Copyright: © Springer Science+Business Media, LLC 2009.

PY - 2009

Y1 - 2009

N2 - We prove a Riemann–Roch type result for any smooth family of smooth oriented compact manifolds. It describes the class of the conjectural higher deter-minantal gerbe associated to the fibers of the family.

AB - We prove a Riemann–Roch type result for any smooth family of smooth oriented compact manifolds. It describes the class of the conjectural higher deter-minantal gerbe associated to the fibers of the family.

KW - Cyclic homology

KW - Determinantal gerbe

KW - Lie algebroid

KW - Riemann–Roch

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M3 - Chapter

AN - SCOPUS:84929281660

T3 - Progress in Mathematics

SP - 125

EP - 164

BT - Progress in Mathematics

PB - Springer Basel

ER -

Riemann–roch for real varieties

Abstract

Publication series

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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