Andrea Bianchi

collaborators

4 papers

math.AT2020

An upper bound on the topological complexity of discriminantal varieties

Andrea Bianchi

We give an upper bound on the topological complexity of varieties $V$ obtained as complements in $C^{m}$ of the zero locus of a polynomial. As an application, we d…

math.AT2019

On the homology of the commutator subgroup of the pure braid group

Andrea Bianchi

We study the homology of $[P_{n}, P_{n}]$ , the commutator subgroup of the pure braid group on $n$ strands, and show that $H_{l} ([P_{n}, P_{n}])$ contains a free abelian group of infinite rank…

math.AT2019

Splitting of the homology of the punctured mapping class group

Andrea Bianchi

Let $Γ_{g, 1}^{m}$ be the mapping class group of the orientable surface $Σ_{g, 1}^{m}$ of genus $g$ with one parametrised boundary curve and $m$ permutable punctures; when $m = 0$ we omit…

math.AT2019

Braid groups, mapping class groups and their homology with twisted coefficients

Andrea Bianchi

We consider the Birman-Hilden inclusion $φ : Br_{2 g + 1} \to Γ_{g, 1}$ of the braid group into the mapping class group of an orientable surface with boundary, and prove th…