Real holomorphic sections of the Deligne-Hitchin twistor space

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Indranil Biswas
  • Sebastian Heller
  • Markus Roeser

Research Organisations

External Research Organisations

  • Tata Institute of Fundamental Research (TIFR HYD)
  • CY Cergy Paris University
  • Universität Hamburg
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Details

Original languageEnglish
Pages (from-to)1099-1133
Number of pages35
JournalCommunications in Mathematical Physics volume
Volume366
Issue number3
Publication statusPublished - 31 Jan 2019

Abstract

We study the holomorphic sections of the Deligne–Hitchin moduli space of a compact Riemann surface, especially the sections that are invariant under the natural anti-holomorphic involutions of the moduli space. Their relationships with the harmonic maps are established. As a by product, a question of Simpson on such sections, posed in [Si4], is answered.

Keywords

    math.DG, math.AG, 53C26, 53C28, 14H60

ASJC Scopus subject areas

Cite this

Real holomorphic sections of the Deligne-Hitchin twistor space. / Biswas, Indranil; Heller, Sebastian; Roeser, Markus.
In: Communications in Mathematical Physics volume, Vol. 366, No. 3, 31.01.2019, p. 1099-1133.

Research output: Contribution to journalArticleResearchpeer review

Biswas I, Heller S, Roeser M. Real holomorphic sections of the Deligne-Hitchin twistor space. Communications in Mathematical Physics volume. 2019 Jan 31;366(3):1099-1133. doi: https://doi.org/10.48550/arXiv.1802.06587, 10.1007/s00220-019-03340-8
Biswas, Indranil ; Heller, Sebastian ; Roeser, Markus. / Real holomorphic sections of the Deligne-Hitchin twistor space. In: Communications in Mathematical Physics volume. 2019 ; Vol. 366, No. 3. pp. 1099-1133.
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