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On the existence of harmonic metrics on non‐Hermitian Yang–Mills bundles.

Authors :
Pan, Changpeng
Shen, Zhenghan
Zhang, Xi
Source :
Proceedings of the London Mathematical Society; Jan2024, Vol. 128 Issue 1, p1-24, 24p
Publication Year :
2024

Abstract

In this paper, we study the non‐Hermitian Yang–Mills (NHYM) bundles over compact Kähler manifolds. We show that the existence of harmonic metrics is equivalent to the semisimplicity of NHYM bundles, which confirms the Conjecture 8.7 in Kaledin and Verbitsky (Selecta Math. (N.S.) 4 (1998) 279–320). [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
LOGICAL prediction
MATHEMATICS

Details

Language :
English
ISSN :
00246115
Volume :
128
Issue :
1
Database :
Complementary Index
Journal :
Proceedings of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
175054928
Full Text :
https://doi.org/10.1112/plms.12580