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Configuration Space Integrals: Bridging Physics, Geometry, and Topology of Knots and Links (Commentary on [106], [108], [109])

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Raoul Bott: Collected Papers

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Abstract

Early 1990s witnessed an emergence of new techniques and points of view in the study of spaces of knots and spaces of embeddings more generally. One of the most exciting developments was the introduction of finite type or Vassiliev knot invariants [Vas90]. To explain, any knot invariant V can be extended to singular knots with n transverse double points via the repeated use of the Vassiliev skein relation

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Volić, I. (2017). Configuration Space Integrals: Bridging Physics, Geometry, and Topology of Knots and Links (Commentary on [106], [108], [109]). In: Tu, L. (eds) Raoul Bott: Collected Papers . Contemporary Mathematicians. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51781-0_12

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