Factorization homology as a fully extended topological field theory

CI Scheimbauer - 2014 - research-collection.ethz.ch
Given an En-algebra A we explicitly construct a fully extended n-dimensional topological
field theory which is essentially given by factorization homology. Under the cobordism …

Factorization homology and calculus Kontsevich Soibelman

G Horel - Journal of Noncommutative Geometry, 2017 - ems.press
We use factorization homology over manifolds with boundaries in order to construct
operations on Hochschild cohomology and Hochschild homology. These operations are …

The factorization theory of Thom spectra and twisted nonabelian Poincaré duality

I Klang - Algebraic & Geometric Topology, 2018 - msp.org
We give a description of the factorization homology and E n topological Hochschild
cohomology of Thom spectra arising from n–fold loop maps f: A→ BO, where A= Ω n X is an …

Configuration spaces of surfaces

R Campos, N Idrissi, T Willwacher - arXiv preprint arXiv:1911.12281, 2019 - arxiv.org
We compute small rational models for configuration spaces of points on oriented surfaces,
as right modules over the framed little disks operad. We do this by splitting these surfaces in …

Noncommutative CW-spectra as enriched presheaves on matrix algebras.

G Arone, I Barnea, TM Schlank - Journal of Noncommutative Geometry, 2022 - ems.press
Motivated by the philosophy that C-algebras reflect noncommutative topology, we
investigate the stable homotopy theory of the (opposite) category of C-algebras. We focus on …

A stable splitting of factorisation homology of generalised surfaces

F Kranhold - arXiv preprint arXiv:2310.07688, 2023 - arxiv.org
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 …

Higher Hochschild cohomology of the Lubin–Tate ring spectrum

G Horel - Algebraic & Geometric Topology, 2016 - msp.org
We construct a spectral sequence computing factorization homology of an ℰ d–algebra in
spectra using as an input an algebraic version of higher Hochschild homology due to …

[图书][B] Factorization Theory of Thom Spectra, Twists, and Duality

I Klang - 2018 - search.proquest.com
This thesis includes two related projects. The first project determines the factorization
homology of Thom spectra of n-fold loop maps, and uses this to study the topological …