Aspects of differential cohomology
Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification
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v1321
A differential cohomology theory is differential geometric refinement of a generalized cohomology theory (in the sense of algebraic topology). Examples naturally arise in physics or in the study of secondary invariants (e.g. Chern-Simons invariants). We discuss this notion from a higher categorical point of view. This leads to a natural decomposition of any differential cohomology theory which we illustrate with many examples. Moreover we show how to obtain a good integration theory and a notion of twisted differential cohomology and discuss some aspects and examples.
Nikolaus.Notes
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