Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Combinatorial Algebraic Topology and Applications

A small combinatorial model for the homology spectral sequence for long knots

Paolo Salvatore

created by collari on 18 Oct 2023
modified on 20 Nov 2023

27 nov 2023 -- 11:00


The Sinha spectral sequence computing the homology of the space of long knots is induced by a bi-complex structure on chain complexes of euclidean configuration spaces. We deform it to a combinatorial multi-complex structure on Salvetti chain complexes for configuration spaces. This allows explicit computations in the spectral sequence. This is joint work with Andrea Marino.

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