8 citations · 26 across the 17 of their papers we have counts for
7 papers · 1 filter
Moduli spaces of Riemann surfaces as Hurwitz spaces
Andrea Bianchi
We consider the moduli space of Riemann surfaces of genus with ordered and directed marked points. For we show that $\mathfrak{M}…
Deloopings of Hurwitz spaces
Andrea Bianchi
For a partially multiplicative quandle (PMQ) we consider the topological monoid of Hurwitz spaces of configurations in the plane…
Hurwitz-Ran spaces
Andrea Bianchi
Given a couple of subspaces of the complex plane satisfying some mild conditions (a ``nice couple''), and given a PMQ-pair $(\mathcal{Q…
Partially multiplicative quandles and simplicial Hurwitz spaces
Andrea Bianchi
We introduce partially multiplicative quandles (PMQ), a generalisation of both partial monoids and quandles. We set up the basic theory of PMQs, focusing on the properties of free…
Parametrised moduli spaces of surfaces as infinite loop spaces
Andrea Bianchi, Florian Kranhold, Jens Reinhold
We study the -algebra consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised…
Mapping class group actions on configuration spaces and the Johnson filtration
Andrea Bianchi, Jeremy Miller, Jennifer C. H. Wilson
Let denote the configuration space of ordered points on the surface and let denote the mapping class group of . We prove that the ac…
Vertical configuration spaces and their homology
Andrea Bianchi, Florian Kranhold
We introduce ordered and unordered configuration spaces of 'clusters' of points in an Euclidean space , where points in each cluster satisfy a 'verticality' condition…