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PreprintCC BY 4.0arXiv

Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current

  • Hassan Jolany
Open at sourcePDFDOICite

Abstract

In this paper we extend Hitchin-Kobayashi correspondence along holomorphic fibre space and we show that there exists a generalized Hermitian-Einstein metric which is twisted with Weil-Petersson current.In fact we generalise Song-Tian program for vector bundles

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Cite

BibTeXRIS
BibTeX
@misc{jolany2026generalized,
  title = {{Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current}},
  author = {Hassan Jolany},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.15206},
  eprint = {2608.15206},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.15206},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current
AU  - Hassan Jolany
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2608.15206
UR  - https://arxiv.org/abs/2608.15206
AB  - In this paper we extend Hitchin-Kobayashi correspondence along holomorphic fibre space and we show that there exists a generalized Hermitian-Einstein metric which is twisted with Weil-Petersson current.In fact we generalise Song-Tian program for vector bundles
ER  -