activity
20212024
most citedParametrised moduli spaces of surfaces as infinite loop spaces

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.KT2024

Segal K-theory of vector spaces with an automorphism

Andrea Bianchi, Florian Kranhold

We describe the Segal -theory of the symmetric monoidal category of finite-dimensional vector spaces over a perfect field together with an automorphism, or, equival…

math.AT2023

A stable splitting of factorisation homology of generalised surfaces

Florian Kranhold

For a manifold and an -algebra , the factorisation homology can be seen as a generalisation of the classical configuration space of labelled particles in …

math.AT2022

Computations in the unstable homology of moduli spaces of Riemann surfaces

Carl-Friedrich Bödigheimer, Felix Boes, Florian Kranhold

In this article we give a survey of homology computations for moduli spaces of Riemann surfaces with genus , one boundary curve, and $m\geqslan…

math.AT2021★ 2 cited

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…

math.AT2021

Configuration spaces of clusters as -algebras

Florian Kranhold

It is a classical result that configuration spaces of labelled particles in are free -algebras and that their -fold bar construction is equivalent to the …

math.AT2021★ 1 cited

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…