Publication:

The Oriented Graph Complexes

Date

Date

Date
2015
Journal Article
Published version

Citations

Citation copied

Willwacher, T. (2015). The Oriented Graph Complexes. Communications in Mathematical Physics, 334(3), 1649–1666. https://doi.org/10.1007/s00220-014-2168-9

Abstract

Abstract

Abstract

The oriented graph complexes GCorn are complexes of directed graphs without directed cycles. They govern, for example, the quantization of Lie bialgebras and infinite dimensional deformation quantization. Similar to the ordinary graph complexes GC n introduced by Kontsevich they come in two essentially different versions, depending on the parity of n. It is shown that, surprisingly, the oriented graph complex GCorn is quasi-isomorphic to the ordinary commutative graph complex of opposite parity GC n-1, up to some known classes. This y

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37 since deposited on 2021-10-19
Acq. date: 2025-11-12

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Additional indexing

Creators (Authors)

  • Willwacher, Thomas
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
334

Number

Number

Number
3

Page range/Item number

Page range/Item number

Page range/Item number
1649

Page end

Page end

Page end
1666

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Mathematical Physics, Statistical and Nonlinear Physics

Language

Language

Language
English

Publication date

Publication date

Publication date
2015-03-01

Date available

Date available

Date available
2021-10-19

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0010-3616

OA Status

OA Status

OA Status
Green

Free Access at

Free Access at

Free Access at
DOI

Metrics

Downloads

37 since deposited on 2021-10-19
Acq. date: 2025-11-12

Views

52 since deposited on 2021-10-19
Acq. date: 2025-11-12

Citations

Citation copied

Willwacher, T. (2015). The Oriented Graph Complexes. Communications in Mathematical Physics, 334(3), 1649–1666. https://doi.org/10.1007/s00220-014-2168-9

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