50 Years of Gauge Theory. Mathematical Aspects
G.Sardanashvily
TL;DR
This paper reviews the mathematical foundations and developments in classical and quantum gauge theory over the past 50 years, highlighting key concepts and progress in the field.
Contribution
It provides a comprehensive overview of the mathematical aspects of gauge theory, emphasizing recent advances and ongoing research directions.
Findings
Summarizes major mathematical frameworks in gauge theory
Highlights connections between classical and quantum formulations
Identifies open problems and future research avenues
Abstract
Mathematical aspects of contemporary classical and quantum gauge theory are sketched.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Homotopy and Cohomology in Algebraic Topology