Characteristic classes of framed fibre bundles
Nils Prigge
TL;DR
This paper extends Kontsevich's method to define characteristic classes for framed fibre bundles with closed manifold fibres, broadening the scope of topological invariants in bundle theory.
Contribution
It introduces a generalized construction of characteristic classes applicable to framed fibre bundles with closed manifold fibres, expanding previous frameworks.
Findings
Developed a new construction for characteristic classes of framed fibre bundles.
Extended Kontsevich's original approach to a broader class of fibre bundles.
Provided theoretical foundations for future topological invariants in bundle theory.
Abstract
We generalize Kontsevich's construction of characteristic classes of fibre bundles with homology sphere fibres and a trivialization of the vertical tangent bundle to framed fibre bundles with closed manifold fibres.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology