Add to ORKGWe describe some instances of the appearance of Chern's mathematical ideas in physics. By means of simple examples, we bring out the geometric and topological ideas which have found application in describing the physical world. These applications range from magnetic monopoles in electrodynamics to instantons in quantum chromodynamics to the geometric phase of quantum mechanics. The first part of this article is elementary and addressed to a general reader. The second part is some what more demanding and is addressed to advanced students of mathematics and physics
International audienceThis lecture note adresses the correspondence between spectral flows, often as...
The aim of this thesis is to introduce and study basic general properties and certain mathematical a...
This monograph addresses the field theoretical aspects of magnetic monopoles. Written for graduate s...
We describe some instances of the appearance of Chern's mathematical ideas in physics. By means of s...
In the first part of this article we gave an elementary introduction to Chern's ideas and their impa...
Geometry and topology enter into physics at many levels. This discussion will begin with Maxwell’s e...
Contemporary topological research in Yang-Mills theory is reviewed, emphasizing the Chern-Simons ter...
We shall describe a program here relating Feynman diagrams, topology of manifolds, homotopical algeb...
We give a review of the application of perturbative techniques to topological quantum field theories...
Abstract. In recent years, the interplay between traditional geometric topol-ogy and theoretical phy...
A distinguished feature of the interplay between geometry and physics in the last, say, 20 years, is...
Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is ...
Topology has appeared in different physical contexts. The most prominent application is topologicall...
The Chern number is a defining characteristic of a non-trivial topological system and is derived fro...
I present a brief review on some of the recent developments in topological quantum field theory. The...
International audienceThis lecture note adresses the correspondence between spectral flows, often as...
The aim of this thesis is to introduce and study basic general properties and certain mathematical a...
This monograph addresses the field theoretical aspects of magnetic monopoles. Written for graduate s...
We describe some instances of the appearance of Chern's mathematical ideas in physics. By means of s...
In the first part of this article we gave an elementary introduction to Chern's ideas and their impa...
Geometry and topology enter into physics at many levels. This discussion will begin with Maxwell’s e...
Contemporary topological research in Yang-Mills theory is reviewed, emphasizing the Chern-Simons ter...
We shall describe a program here relating Feynman diagrams, topology of manifolds, homotopical algeb...
We give a review of the application of perturbative techniques to topological quantum field theories...
Abstract. In recent years, the interplay between traditional geometric topol-ogy and theoretical phy...
A distinguished feature of the interplay between geometry and physics in the last, say, 20 years, is...
Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is ...
Topology has appeared in different physical contexts. The most prominent application is topologicall...
The Chern number is a defining characteristic of a non-trivial topological system and is derived fro...
I present a brief review on some of the recent developments in topological quantum field theory. The...
International audienceThis lecture note adresses the correspondence between spectral flows, often as...
The aim of this thesis is to introduce and study basic general properties and certain mathematical a...
This monograph addresses the field theoretical aspects of magnetic monopoles. Written for graduate s...