From hypercomplex to holomorphic symplectic structures

Wei Hong; Mathieu Stiénon

doi:10.1016/j.geomphys.2015.06.008

From hypercomplex to holomorphic symplectic structures

Wei Hong, Mathieu Stiénon

Mathematics

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

1 Scopus citations

Abstract

The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex structures and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.

Original language	English (US)
Pages (from-to)	187-203
Number of pages	17
Journal	Journal of Geometry and Physics
Volume	96
DOIs	https://doi.org/10.1016/j.geomphys.2015.06.008
State	Published - Oct 1 2015

All Science Journal Classification (ASJC) codes

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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10.1016/j.geomphys.2015.06.008

Cite this

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title = "From hypercomplex to holomorphic symplectic structures",

abstract = "The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex structures and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.",

author = "Wei Hong and Mathieu Sti{\'e}non",

note = "Funding Information: We would like to thank Ping Xu, Jonathan Block and Zuoqin Wang for helpful discussion and comments. Hong wishes to thank Penn State University while work on this project was being done. Hong{\textquoteright}s research is partially supported by NSFC grant 11401441 . Publisher Copyright: {\textcopyright} 2015 Elsevier B.V..",

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doi = "10.1016/j.geomphys.2015.06.008",

language = "English (US)",

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AU - Hong, Wei

AU - Stiénon, Mathieu

N1 - Funding Information: We would like to thank Ping Xu, Jonathan Block and Zuoqin Wang for helpful discussion and comments. Hong wishes to thank Penn State University while work on this project was being done. Hong’s research is partially supported by NSFC grant 11401441 . Publisher Copyright: © 2015 Elsevier B.V..

PY - 2015/10/1

Y1 - 2015/10/1

N2 - The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex structures and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.

AB - The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex structures and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.

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EP - 203

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

ER -

From hypercomplex to holomorphic symplectic structures

Abstract

All Science Journal Classification (ASJC) codes

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