Results 31 to 40 of about 55,778 (240)

Approximating equivariant mapping spaces [PDF]

open access: yesPacific Journal of Mathematics, 1990
Let \(G\) be a finite group and let \(V\) be a finite-dimensional unitary representation of \(G\) with unit sphere \(SV\). Let \({\mathcal U}(SV,SV)\) be the \(G\)-space of unbased maps \(SV\to SV\), where \(G\) acts by conjugation. Let also \(S^ V\) denote the one-point compactification of \(V\) and let \(\Omega^ VS^ V\) denote the \(G\)-space of ...
Costenoble, S. R.   +2 more
openaire   +2 more sources

Cycle-Level Products in Equivariant Cohomology of Toric Varieties [PDF]

open access: yes, 2014
In this paper, we define an action of the group of equivariant Cartier divisors on a toric variety X on the equivariant cycle groups of X, arising naturally from a choice of complement map on the underlying lattice.
Fischer, Benjamin P.   +1 more
core   +1 more source

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

open access: yesForum of Mathematics, Sigma, 2021
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj   +1 more source

Equivariant acyclic maps [PDF]

open access: yesProceedings of the American Mathematical Society, 1997
Summary: We apply a recently developed new version of the Bredon-Illman cohomology theory to obtain an equivariant analogue of a result of Kan and Thurston, which implies that a connected CW-complex has the homotopy type of a space obtained by applying the plus construction of Quillen to certain Eilenberg-MacLane spaces.
Mukherjee, Amiya, Naolekar, Aniruddha C.
openaire   +2 more sources

Equivariant Nielsen invariants for discrete groups

open access: yes, 2006
For discrete groups G, we introduce equivariant Nielsen invariants. They are equivariant analogs of the Nielsen number and give lower bounds for the number of fixed point orbits in the G-homotopy class of an equivariant endomorphism f:X->X.
Weber, Julia
core   +2 more sources

Conformally Equivariant Quantization - a Complete Classification

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
Conformally equivariant quantization is a peculiar map between symbols of real weight δ and differential operators acting on tensor densities, whose real weights are designed by λ and λ+δ.
Jean-Philippe Michel
doaj   +1 more source

Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation

open access: yesEntropy, 2020
In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Frédéric Barbaresco
doaj   +1 more source

Infinite flags and Schubert polynomials

open access: yesForum of Mathematics, Sigma
We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
doaj   +1 more source

Various notions of amenability for not necessarily locally compact groupoids [PDF]

open access: yesSurveys in Mathematics and its Applications, 2014
We start with a groupoid G endowed with a family W of subsets mimicking the properties of a neighborhood basis of the unit space (of a topological groupoid with paracompact unit space).
Mădălina Roxana Buneci
doaj  

General position of equivariant maps [PDF]

open access: yesTransactions of the American Mathematical Society, 1977
A natural generic notion of general position for smooth maps which are equivariant with respect to the action of a compact Lie group is introduced. If G is a compact Lie group, and M, N are smooth G-manifolds, then the set of smooth equivariant maps F : M → N F:M \to N which are in general position ...
openaire   +2 more sources

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