Andrea Bianchi

activity

20172026

most citedSplitting of the homology of the punctured mapping class group

8 citations · 26 across the 17 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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★ 8 cited

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…