The dilogarithm and abelian Chern-Simons
Daniel S. Freed, Andrew Neitzke
TL;DR
This paper links the dilogarithm function to the spin Chern-Simons invariant, providing geometric proofs of identities and insights into its properties within a new mathematical framework.
Contribution
It introduces a novel construction of the dilogarithm from spin Chern-Simons invariants, offering a geometric perspective on its identities and properties.
Findings
Constructed the dilogarithm from spin Chern-Simons invariants.
Provided geometric proofs of dilogarithm identities.
Explored the branching structure of the dilogarithm geometrically.
Abstract
We construct the (enhanced Rogers) dilogarithm function from the spin Chern-Simons invariant of C*-connections. This leads to geometric proofs of basic dilogarithm identities and a geometric context for other properties, such as the branching structure.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research · Geometric and Algebraic Topology