Chern-Weil calculus extended to a class of infinite dimensional manifolds
Sylvie Paycha
TL;DR
This paper explores extending the classical Chern-Weil calculus to infinite dimensional manifolds, building on collaborative work with several mathematicians to broaden its applicability.
Contribution
It introduces a framework for applying Chern-Weil theory to infinite dimensional manifolds, expanding the scope of differential geometry tools.
Findings
Extended Chern-Weil formalism to certain infinite dimensional manifolds
Established connections with existing infinite dimensional geometry
Provided foundational results for future research in infinite dimensional topology
Abstract
We discuss possible extensions of the classical Chern-Weil formalism to an infinite dimensional setup. This is based on joint work with Steven Rosenberg, joint work with Simon Scott and joint work with Jouko Mickelsson.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology