scholarly journals Reflexive sheaves, Hermitian–Yang–Mills connections, and tangent cones

2021 ◽  
Author(s):  
Xuemiao Chen ◽  
Song Sun
Keyword(s):  
Tangent Cones ◽  
Yang Mills

scholarly journals Algebraic Tangent Cones of Reflexive Sheaves

2018 ◽  
Vol 2020 (24) ◽  
pp. 10042-10063 ◽  
Author(s):  
Xuemiao Chen ◽  
Song Sun
Keyword(s):  
Tangent Cones ◽  
Yang Mills ◽  
Suitable Sense

Abstract We study the notion of algebraic tangent cones at singularities of reflexive sheaves. These correspond to extensions of reflexive sheaves across a negative divisor. We show the existence of optimal extensions in a constructive manner, and we prove the uniqueness in a suitable sense. The results here are an algebro-geometric counterpart of our previous study on singularities of Hermitian–Yang–Mills connections.

scholarly journals Tangent cones of Hermitian Yang–Mills connections with isolated singularities

2018 ◽  
Vol 25 (5) ◽  
pp. 1429-1445 ◽  
Author(s):  
Adam Jacob ◽  
Henrique Sá Earp ◽  
Thomas Walpuski
Keyword(s):  
Tangent Cones ◽  
Isolated Singularities ◽  
Yang Mills

scholarly journals Analytic tangent cones of admissible Hermitian Yang–Mills connections

2021 ◽  
Vol 25 (4) ◽  
pp. 2061-2108
Author(s):  
Xuemiao Chen ◽  
Song Sun
Keyword(s):  
Tangent Cones ◽  
Yang Mills

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

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