Generalised contact geometry as reduced generalised Complex geometry

Kyle Wright

doi:10.1016/j.geomphys.2018.04.009

Generalised contact geometry as reduced generalised Complex geometry

Kyle Wright

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail, with a geometric description given in terms of gerbes. As an application of the reduction procedure, generalised coKähler structures are defined in a way which extends the Kähler/coKähler correspondence.

Original language	English
Pages (from-to)	331-348
Number of pages	18
Journal	Journal of Geometry and Physics
Volume	130
DOIs	https://doi.org/10.1016/j.geomphys.2018.04.009
Publication status	Published - Aug 2018

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10.1016/j.geomphys.2018.04.009

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@article{e065f77469e6403c8960837053323572,

title = "Generalised contact geometry as reduced generalised Complex geometry",

abstract = "Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail, with a geometric description given in terms of gerbes. As an application of the reduction procedure, generalised coK{\"a}hler structures are defined in a way which extends the K{\"a}hler/coK{\"a}hler correspondence.",

keywords = "Generalised geometry, T-duality, contact geometry",

author = "Kyle Wright",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = aug,

doi = "10.1016/j.geomphys.2018.04.009",

language = "English",

volume = "130",

pages = "331--348",

journal = "Journal of Geometry and Physics",

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publisher = "Elsevier B.V.",

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T1 - Generalised contact geometry as reduced generalised Complex geometry

AU - Wright, Kyle

PY - 2018/8

Y1 - 2018/8

N2 - Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail, with a geometric description given in terms of gerbes. As an application of the reduction procedure, generalised coKähler structures are defined in a way which extends the Kähler/coKähler correspondence.

AB - Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail, with a geometric description given in terms of gerbes. As an application of the reduction procedure, generalised coKähler structures are defined in a way which extends the Kähler/coKähler correspondence.

KW - Generalised geometry

KW - T-duality

KW - contact geometry

UR - https://www.scopus.com/pages/publications/85047017782

U2 - 10.1016/j.geomphys.2018.04.009

DO - 10.1016/j.geomphys.2018.04.009

M3 - Article

SN - 0393-0440

VL - 130

SP - 331

EP - 348

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Generalised contact geometry as reduced generalised Complex geometry

Abstract

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