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20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

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13 papers · 1 filter

math.AT2025

A Fibration Theorem and Chas-Sullivan product for Morse-Novikov Homology with differential graded coefficients

Robin Riegel

Given an oriented, closed and connected manifold X and a nonzero cohomology u H 1 (X, R), we extend the constructions of Morse Homology with differential graded coefficients…

math.AT2025

The Path-product in Morse Homology with differential graded coefficients

Robin Riegel

We will use the tools developed in [Rie24] to give a Morse-theoretic description of a string topology product on the homology of the space of paths in a manifold Y with endpoints i…

math.AT2024

A chain-level model for Chas-Sullivan products in Morse homology with differential graded coefficients

Robin Riegel

We use the framework of Morse theory with differential graded coefficients to study certain operations on the total space of a fibration. More particularly, we focus in this paper…

math.AT2023

Natural transformations relating homotopy and singular homology functors

Benjamin Enriquez, Florence Lecomte

The category of topological spaces endowed with two marked points is equipped with two families and of functors to the category of abelian groups, index…

math.AT2022

On the functors associated with beaded open Jacobi diagrams

Christine Vespa

Morphisms in the linear category A of Jacobi diagrams in handlebodies give rise to interesting contravariant functors on the category gr of finitely-generated free groups, encoding…

math.AT2021

On the homological interpretation of the prounipotent completion of the fundamental group

Benjamin Enriquez, Florence Lecomte

We recall the cohomological interpretation of the unipotent quotients of the fundamental groupoid of an algebraic complex variety (Beilinson, Deligne-Goncharov). We then give a con…

math.AT2020

A Pirashvili-type theorem for functors on non-empty finite sets

Geoffrey Powell, Christine Vespa

Pirashvili's Dold-Kan type theorem for finite pointed sets follows from the identification in terms of surjections of the morphisms between the tensor powers of a functor playing t…

math.AT2017

A Mini-Course on Morava Stabilizer Groups and Their Cohomology

Hans-Werner Henn

The Morava stabilizer groups play a dominating role in chromatic stable ho-motopy theory. In fact, for suitable spectra X, for example all finite spectra, thechromatic homotopy typ…

math.AT2012

Polynomial functors from Algebras over a set-operad and non-linear Mackey functors

Manfred Hartl, Teimuraz Pirashvili, Christine Vespa

In this paper, we give a description of polynomial functors from (finitely generated free) groups to abelian groups in terms of non-linear Mackey functors generalizing those given…

math.AT2008

On the mod - p cohomology of Out(F_{2(p-1)}

Henry Glover, Hans-Werner Henn

We study the mod-p cohomology of the group Out(F_n) of outer automorphisms of the free group F_n in the case n=2(p-1) which is the smallest n for which the p-rank of this group is…

math.AT2008★ 7 cited

The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited

Hans-Werner Henn, Nasko Karamanov, Mark Mahowald

In this paper we use the approach introduced in an earlier paper by Goerss, Henn, Mahowald and Rezk in order to analyze the homotopy groups of L_{K(2)}V(0), the mod-3 Moore spectru…

math.AT2008

Quadratic functors on pointed categories

Manfred Hartl, Christine Vespa

We study polynomial functors of degree 2, called quadratic, with values in the category of abelian groups , and whose source category is an arbitrary category $\C$ with null ob…

math.AT2008

Sur l'homologie des groupes orthogonaux et symplectiques à coefficients tordus

Aurélien Djament, Christine Vespa

We compute the stable homology of orthogonal and symplectic groups over a finite field k with coefficients coming from an usual endofunctor F of k-vector spaces (exterior, symmetri…