Geometry & Topology Volume 25, issue 4 (2021)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

Analytic tangent cones of admissible Hermitian Yang–Mills connections

Xuemiao Chen and Song Sun

Geometry & Topology 25 (2021) 2061–2108

DOI: 10.2140/gt.2021.25.2061

Bibliography

1	S Bando, Y T Siu, Stable sheaves and Einstein–Hermitian metrics, from: "Geometry and analysis on complex manifolds" (editors T Mabuchi, J Noguchi, T Ochiai), World Sci. (1994) 39 MR1463962
2	A L Besse, Einstein manifolds, 10, Springer (1987) MR867684
3	X Chen, S Sun, Singularities of Hermitian–Yang–Mills connections and Harder–Narasimhan–Seshadri filtrations, Duke Math. J. 169 (2020) 2629 MR4149506
4	P Griffiths, J Harris, Principles of algebraic geometry, Wiley (1978) MR507725
5	S Kobayashi, Differential geometry of complex vector bundles, 15, Princeton Univ. Press (1987) MR909698
6	B S Mityagin, The zero set of a real analytic function, Mat. Zametki 107 (2020) 473 MR4070868
7	H Nakajima, Compactness of the moduli space of Yang–Mills connections in higher dimensions, J. Math. Soc. Japan 40 (1988) 383 MR945342
8	C Okonek, M Schneider, H Spindler, Vector bundles on complex projective spaces, 3, Birkhäuser (1980) MR561910
9	P Price, A monotonicity formula for Yang–Mills fields, Manuscripta Math. 43 (1983) 131 MR707042
10	B Shiffman, On the removal of singularities of analytic sets, Michigan Math. J. 15 (1968) 111 MR224865
11	B Sibley, R A Wentworth, Analytic cycles, Bott–Chern forms, and singular sets for the Yang–Mills flow on Kähler manifolds, Adv. Math. 279 (2015) 501 MR3345190
12	G Tian, Gauge theory and calibrated geometry, I, Ann. of Math. 151 (2000) 193 MR1745014
13	K Uhlenbeck, S T Yau, On the existence of Hermitian–Yang–Mills connections in stable vector bundles, Comm. Pure Appl. Math. 39 (1986) MR861491