Publication

Localization Genus

Related publications (28)

Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

We extend the group-theoretic notion of conditional flatness for a localization functor to any pointed category, and investigate it in the context of homological categories and of semi-abelian categories. In the presence of functorial fiberwise localizatio ...

CAMBRIDGE UNIV PRESS2023

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Nicolas Monod

We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of orientation-preserving homeomorphisms of the circle and of the closed 2-disc, it is isomorphic to the polynomial ring g ...

SPRINGER HEIDELBERG2023

Relative plus constructions

Jérôme Scherer

Let h be a connective homology theory. We construct a functorial relative plus construction as a Bousfield localization functor in the category of maps of spaces. It allows us to associate to a pair (X,H), consisting of a connected space X and an hperfect ...

2023

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Yang Liu

This thesis is a study of the global well-posedness of the Cauchy problems for half-wave maps from the Minkowski space of dimension n+1 to the 2-dimensional sphere and the hyperbolic plane. The work is mainly based on the results from Krieger-Sire 17' in ...

EPFL2023

Spectral Hypergraph Sparsifiers of Nearly Linear Size

Mikhail Kapralov, Jakab Tardos

Graph sparsification has been studied extensively over the past two decades, culminating in spectral sparsifiers of optimal size (up to constant factors). Spectral hypergraph sparsification is a natural analogue of this problem, for which optimal bounds on ...

IEEE COMPUTER SOC2022

A Shadow Perspective on Equivariant Hochschild Homologies

Kathryn Hess Bellwald, Inbar Klang

Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...

OXFORD UNIV PRESS2022

Quasi-categories vs. Segal spaces: Cartesian edition

Nima Rasekh

We prove that four different ways of defining Cartesian fibrations and the Cartesian model structure are all Quillen equivalent: 1.On marked simplicial sets (due to Lurie [31]), 2.On bisimplicial spaces (due to deBrito [12]), 3.On bisimplicial sets, 4.On m ...

2021

Voss surfaces: A design space for geodesic gridshells

Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel

The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...

2021

Homotopical relations between 2-dimensional categories and their infinity-analogues

Lyne Moser

In this thesis, we study the homotopical relations of 2-categories, double categories, and their infinity-analogues. For this, we construct homotopy theories for the objects of interest, and show that there are homotopically full embeddings of 2-categories ...

EPFL2021

Localization Genus

Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Relative plus constructions

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Spectral Hypergraph Sparsifiers of Nearly Linear Size

A Shadow Perspective on Equivariant Hochschild Homologies

Quasi-categories vs. Segal spaces: Cartesian edition

Voss surfaces: A design space for geodesic gridshells

Homotopical relations between 2-dimensional categories and their infinity-analogues

Voss Surfaces: A Design Space for Geodesic Gridshells

Graph Chatbot

Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Relative plus constructions

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Spectral Hypergraph Sparsifiers of Nearly Linear Size

A Shadow Perspective on Equivariant Hochschild Homologies

Quasi-categories vs. Segal spaces: Cartesian edition

Voss surfaces: A design space for geodesic gridshells

Homotopical relations between 2-dimensional categories and their infinity-analogues

Voss Surfaces: A Design Space for Geodesic Gridshells