Florian Kranhold

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

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5 papers · 1 filter

math.AT2023

A stable splitting of factorisation homology of generalised surfaces

Florian Kranhold

For a manifold $W$ and an $E_{d}$ -algebra $A$ , the factorisation homology $\int_{W} A$ can be seen as a generalisation of the classical configuration space of labelled particles in $W$ …

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 $M_{g, 1}^{m}$ of Riemann surfaces with genus $g ⩾ 0$ , 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 $E_{2}$ -algebra $Λ M_{*, 1} = ∐_{g ⩾ 0} Λ M_{g, 1}$ consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised…

math.AT2021

Configuration spaces of clusters as $E_{d}$ -algebras

Florian Kranhold

It is a classical result that configuration spaces of labelled particles in $R^{d}$ are free $E_{d}$ -algebras and that their $d$ -fold bar construction is equivalent to the $d$ …

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 $R^{d}$ , where points in each cluster satisfy a 'verticality' condition…

A stable splitting of factorisation homology of generalised surfaces

Computations in the unstable homology of moduli spaces of Riemann surfaces

Parametrised moduli spaces of surfaces as infinite loop spaces

Configuration spaces of clusters as Ed​-algebras

Vertical configuration spaces and their homology

Configuration spaces of clusters as $E_{d}$ -algebras