activity
20042026
most citedThe homology of the Milnor fiber for classical braid groups

29 citations · 93 across the 16 of their papers we have counts for

collaborators

20 papers

math.AT2026

Stable homology of complex braid groups

Andrea Bianchi, Filippo Callegaro, Luigi Caputi +1

We compute the stable homology of complex braid groups of types and for fixed and increasing . This accounts for the stable homology of all infini…

math.AT2023

Combinatorial generators for the cohomology of toric arrangements

Filippo Callegaro, Emanuele Delucchi

We give a new combinatorial description of the cohomology ring structure of of the complement of a real complexified toric arrange…

math.GR2021

Cohomology of quasi-abelianized braid groups

Filippo Callegaro, Ivan Marin

We investigate the rational cohomology of the quotient of (generalized) braid groups by the commutator subgroup of the pure braid groups. We provide a combinatorial description of…

math.AT2019★ 2 cited

Erratum to "The integer cohomology algebra of toric arrangements"

Filippo Callegaro, Emanuele Delucchi

We point out two errors in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., Vol. 313, pp. 746-802, 2017. The main error concerns Theorem 4.2.17. In t…

math.AT2018★ 23 cited

Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements

Filippo Callegaro, Michele D'Adderio, Emanuele Delucchi +2

We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias "toric arrangement"). O…

math.AT2018

Families of superelliptic curves, complex braid groups and generalized Dehn twists

Filippo Callegaro, Mario Salvetti

We consider the universal family of superelliptic curves: each curve in the family is a -fold covering of the unit disk, totally ramified over a set of d…