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Symplectic instanton bundles on P^3 and 't Hooft instantons

Bruzzo, Ugo
•
Markushevich, D.
•
Tikhomirov, A.
2016
  • journal article

Periodico
EUROPEAN JOURNAL OF MATHEMATICS
Abstract
We study the moduli space $I_{n,r}$ of rank-$2r$ symplectic instanton vector bundles on $mathbb{P}^3$ with $rge2$ and second Chern class $nge r+1, n-requiv 1(mathrm{mod}2)$. We introduce the notion of tame symplectic instantons by excluding a kind of pathological monads and show that the locus $I^*_{n,r}$ of tame symplectic instantons is irreducible and has the expected dimension, equal to $4n(r+1)-r(2r+1)$. The proof is inherently based on a relation between the spaces $I^*_{n,r}$ and the moduli spaces of 't Hooft instantons.
DOI
10.1007/s40879-015-0082-0
WOS
WOS:000413224900005
Archivio
http://hdl.handle.net/20.500.11767/12610
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84958726152
https://arxiv.org/abs/1412.0638
http://cdsads.u-strasbg.fr/abs/2014arXiv1412.0638B
Diritti
closed access
Soggetti
  • mathematical instanto...

  • symplectic instanton

  • projective 3-space

  • Settore MAT/03 - Geom...

Scopus© citazioni
3
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
4
Data di acquisizione
Mar 27, 2024
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