Generalized Kähler Geometry of Instanton Moduli Spaces

Henrique Bursztyn; Marco Gualtieri; Gil R. Cavalcanti

doi:10.1007/s00220-014-2170-2

Generalized Kähler Geometry of Instanton Moduli Spaces

Henrique Bursztyn
, Marco Gualtieri
, Gil R. Cavalcanti^*

^*Corresponding author for this work

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

Abstract

We prove that Hitchin’s generalized Kähler structure on the moduli space of instantons over a compact, even generalized Kähler four-manifold may be obtained by generalized Kähler reduction, in analogy with the usual Kähler case. The underlying reduction of Courant algebroids is a realization of Donaldson’s μ-map in degree three.

Original language	English
Pages (from-to)	831-860
Number of pages	30
Journal	Communications in Mathematical Physics
Volume	333
Issue number	2
DOIs	https://doi.org/10.1007/s00220-014-2170-2
Publication status	Published - Jan 2015

Keywords

Modulus Space
Gauge Action
Courant Bracket
Generalize Complex Structure
Courant Algebroid

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10.1007/s00220-014-2170-2

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Cite this

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title = "Generalized K{\"a}hler Geometry of Instanton Moduli Spaces",

abstract = "We prove that Hitchin{\textquoteright}s generalized K{\"a}hler structure on the moduli space of instantons over a compact, even generalized K{\"a}hler four-manifold may be obtained by generalized K{\"a}hler reduction, in analogy with the usual K{\"a}hler case. The underlying reduction of Courant algebroids is a realization of Donaldson{\textquoteright}s μ-map in degree three.",

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AU - Bursztyn, Henrique

AU - Gualtieri, Marco

AU - Cavalcanti, Gil R.

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N2 - We prove that Hitchin’s generalized Kähler structure on the moduli space of instantons over a compact, even generalized Kähler four-manifold may be obtained by generalized Kähler reduction, in analogy with the usual Kähler case. The underlying reduction of Courant algebroids is a realization of Donaldson’s μ-map in degree three.

AB - We prove that Hitchin’s generalized Kähler structure on the moduli space of instantons over a compact, even generalized Kähler four-manifold may be obtained by generalized Kähler reduction, in analogy with the usual Kähler case. The underlying reduction of Courant algebroids is a realization of Donaldson’s μ-map in degree three.

KW - Modulus Space

KW - Gauge Action

KW - Courant Bracket

KW - Generalize Complex Structure

KW - Courant Algebroid

UR - https://www.scopus.com/pages/publications/84921937184

U2 - 10.1007/s00220-014-2170-2

DO - 10.1007/s00220-014-2170-2

M3 - Article

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VL - 333

SP - 831

EP - 860

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Generalized Kähler Geometry of Instanton Moduli Spaces

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Keywords

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