Models for configuration spaces of points via obstruction theory I

Thomas Willwacher

Models for configuration spaces of points via obstruction theory I

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arxiv 2302.07369 v1 pith:Y2O3X2KF submitted 2023-02-14 math.AT math.QA

Thomas Willwacher This is my paper · ORCID

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keywords configurationmodelsobstructionpointsspacestheoryalgebraicanalytic

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We derive rational (Sullivan) models for configuration spaces of points on manifolds purely from algebraic considerations via obstruction theory, essentially without the use of analytic or geometric techniques.

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Characteristic classes of framed fibre bundles
math.AT 2025-05 conditional novelty 7.0 of 10

Configuration space integrals produce characteristic classes of framed fibre bundles with closed manifold fibres, generalizing Kontsevich's graph complex classes to arbitrary closed fibres.

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