Deformations of Instanton Metrics

Roger Bielawski; Yannic Borchard; Sergey A. Cherkis

doi:10.3842/SIGMA.2023.041

Deformations of Instanton Metrics

Roger Bielawski
, Yannic Borchard
, Sergey A. Cherkis

Mathematics

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

Abstract

We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative R⁴ . Via the generalized Legendre transform, we find the Kähler potential on each of these spaces.

Original language	English (US)
Article number	41
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	19
DOIs	https://doi.org/10.3842/SIGMA.2023.041
State	Published - 2023

Keywords

bow variety
generalised Legendre transform
hyperkähler geometry
instanton

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2023.041

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title = "Deformations of Instanton Metrics",

abstract = "We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative R4 . Via the generalized Legendre transform, we find the K{\"a}hler potential on each of these spaces.",

keywords = "bow variety, generalised Legendre transform, hyperk{\"a}hler geometry, instanton",

author = "Roger Bielawski and Yannic Borchard and Cherkis, \{Sergey A.\}",

year = "2023",

doi = "10.3842/SIGMA.2023.041",

language = "English (US)",

volume = "19",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

issn = "1815-0659",

publisher = "Institute of Mathematics",

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T1 - Deformations of Instanton Metrics

AU - Bielawski, Roger

AU - Borchard, Yannic

AU - Cherkis, Sergey A.

PY - 2023

Y1 - 2023

N2 - We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative R4 . Via the generalized Legendre transform, we find the Kähler potential on each of these spaces.

AB - We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative R4 . Via the generalized Legendre transform, we find the Kähler potential on each of these spaces.

KW - bow variety

KW - generalised Legendre transform

KW - hyperkähler geometry

KW - instanton

UR - https://www.scopus.com/pages/publications/85162868644

UR - https://www.scopus.com/pages/publications/85162868644#tab=citedBy

U2 - 10.3842/SIGMA.2023.041

DO - 10.3842/SIGMA.2023.041

M3 - Article

AN - SCOPUS:85162868644

SN - 1815-0659

VL - 19

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 41

ER -

Deformations of Instanton Metrics

Abstract

Keywords

ASJC Scopus subject areas

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