volume 265 issue 1 pages 131-164

Instantons, Poisson Structures and Generalized Kähler Geometry

Nigel Hitchin 1
Publication typeJournal Article
Publication date2006-03-03
scimago Q1
wos Q1
SJR1.506
CiteScore4.9
Impact factor2.6
ISSN00103616, 14320916
Statistical and Nonlinear Physics
Mathematical Physics
Abstract
Using the idea of a generalized Kähler structure, we construct bihermitian metrics on CP2 and CP1×CP1, and show that any such structure on a compact 4-manifold M defines one on the moduli space of anti-self-dual connections on a fixed principal bundle over M. We highlight the role of holomorphic Poisson structures in all these constructions.
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GOST |
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GOST Copy
Hitchin N. Instantons, Poisson Structures and Generalized Kähler Geometry // Communications in Mathematical Physics. 2006. Vol. 265. No. 1. pp. 131-164.
GOST all authors (up to 50) Copy
Hitchin N. Instantons, Poisson Structures and Generalized Kähler Geometry // Communications in Mathematical Physics. 2006. Vol. 265. No. 1. pp. 131-164.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1007/s00220-006-1530-y
UR - https://doi.org/10.1007/s00220-006-1530-y
TI - Instantons, Poisson Structures and Generalized Kähler Geometry
T2 - Communications in Mathematical Physics
AU - Hitchin, Nigel
PY - 2006
DA - 2006/03/03
PB - Springer Nature
SP - 131-164
IS - 1
VL - 265
SN - 0010-3616
SN - 1432-0916
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@article{2006_Hitchin,
author = {Nigel Hitchin},
title = {Instantons, Poisson Structures and Generalized Kähler Geometry},
journal = {Communications in Mathematical Physics},
year = {2006},
volume = {265},
publisher = {Springer Nature},
month = {mar},
url = {https://doi.org/10.1007/s00220-006-1530-y},
number = {1},
pages = {131--164},
doi = {10.1007/s00220-006-1530-y}
}
MLA
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MLA Copy
Hitchin, Nigel. “Instantons, Poisson Structures and Generalized Kähler Geometry.” Communications in Mathematical Physics, vol. 265, no. 1, Mar. 2006, pp. 131-164. https://doi.org/10.1007/s00220-006-1530-y.