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Alexander Engström: On Salvetti’s Generalised Independence Complexes for Artin Groups

Time: Wed 2017-11-29 11.00 - 12.00

Location: Room 3418, Lindstedtsvägen 25. Department of Mathematics, KTH

Participating: Alexander Engström, Aalto University

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Abstract

Salvetti introduced a generalised independence complex to calculate cohomology of Artin groups. Together with Paolini they determined it for paths, cycles and some trees. We show that for trees the generalised independence complexes are wedges of spheres, and provide an algorithm to compute a basis of cohomology.