activity
20102022
most citedEquivariant complex bundles, fixed points and equivariant unitary bordism

2 citations · 6 across the 13 of their papers we have counts for

collaborators

13 papers

math.AT2022

G-category versus orbifold category

Andres Angel, Hellen Colman

We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category…

math.AT2021★ 1 cited

Oriented and unitary equivariant bordism of surfaces

Andrés Angel, Eric Samperton, Carlos Segovia +1

Fix a finite group . We study and , the unitary and oriented bordism groups of smooth -equivariant compact surfaces, respectively, and we calculate th…

math.AT2021

Thom's counterexamples for the Steenrod problem

Andres Angel, Carlos Segovia, Arley Fernando Torres

The present paper deals with integral classes which are counterexamples for the Steenrod realization problem, where is the $(2…

math.AT2020★ 1 cited

Proper actions and decompositions in equivariant K-theory

Andrés Angel, Edward Becerra, Mario Velásquez

In this paper we study a natural decomposition of -equivariant -theory of a proper -space, when is a Lie group with a compact normal subgroup acting trivially. Our…

math.AT2019

Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

Andrés Angel, Hellen Colman, Mark Grant +1

We use the homotopy invariance of equivariant principal bundles to prove that the equivariant -category of Clapp and Puppe is invariant under Morita equivalence. As a…

math.AT2018

-stratifolds

Andrés Angel, Arley Fernando Torres, Carlos Segovia

Generalizing the ideas of -manifolds from Sullivan and stratifolds from Kreck, we define -stratifolds. We show that the bordism theory of …

math.AT2017★ 2 cited

Equivariant complex bundles, fixed points and equivariant unitary bordism

Andrés Angel, José Manuel Gómez, Bernardo Uribe

We study the fixed points of the universal G-equivariant n-dimensional complex vector bundle and obtain a decomposition formula in terms of twisted equivariant universal complex ve…

math.AT2017

Equivariant topological complexities

Andres Angel, Hellen Colman

The aim of this article is to review different generalizations of the the notion of topological complexity to the equivariant setting. In particular, we review the relation (or non…

math.AT2017

Equilateral -gons in and deformed spheres and mod Fadell-Husseini index

Andrés Angel, Jerson Borja

We introduce the concept of -equilateral -gons. We prove the existence of -equilateral -gons in if and the existence of equilateral -gons in the…

math.RA2017

A BV-algebra Structure on Hochschild Cohomology of the Group Ring of Finitely Generated Abelian Groups

Andrés Angel, Diego Duarte

We study a Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the group ring of finitely generated abelian groups. The Batalin-Vilkovisky algebra structure for fi…

math.AT2016

The Evasiveness Conjecture and Graphs on 2p Vertices

Andres Angel, Jerson Borja

The Evasiveness conjecture have been proved for properties of graphs on a prime-power number of vertices and the six vertices case. The ten vertices case is still unsolved. In this…

math.AT2015

Free and based path groupoids

Andres Angel, Hellen Colman

We give an explicit description of the free path and loop groupoids in the Morita bicategory of translation topological groupoids. We prove that the free path groupoid of a discret…

math.AT2010★ 2 cited

Hochschild cohomology and string topology of global quotient orbifolds

Andres Angel, Erik Backelin, Bernardo Uribe

Let M be a connected, simply connected, closed and oriented manifold, and G a finite group acting on M by orientation preserving diffeomorphisms. In this paper we show an explicit…