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Equivariant map superalgebras [PDF]

open access: greenMathematische Zeitschrift, 2014
Suppose a group $\Gamma$ acts on a scheme $X$ and a Lie superalgebra $\mathfrak{g}$. The corresponding equivariant map superalgebra is the Lie superalgebra of equivariant regular maps from $X$ to $\mathfrak{g}$.
Alistair Savage
core   +6 more sources

Moment Maps and Equivariant Volumes [PDF]

open access: greenActa Mathematica Sinica, English Series, 2007
misprints corrected, some new results ...
Alberto Della Vedova, Roberto Paoletti
openalex   +5 more sources

Critical $O(d)$-equivariant biharmonic maps [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2015
We study $O(d)$-equivariant biharmonic maps in the critical dimension. A major consequence of our study concerns the corresponding heat flow. More precisely, we prove that blowup occurs in the biharmonic map heat flow from $B^4(0, 1)$ into $S^4$.
Cooper, Matthew K.
core   +3 more sources

Degree Theory for Equivariant Maps. I [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1989
A degree theory for equivariant maps is constructed in a simple geometrical way. This degree has all the basic properties of the usual degree theories and takes its values in the equivariant homotopy groups of spheres. For the case of a semifree S 1 {S^1} -action, a complete computation of these ...
Jorge Ize, I. Massabo, A. Vignoli
openalex   +3 more sources

Equivariant Maps for Homology Representations [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1994
If Y is a homotopy representation of the finite group G of order n and X is a finite G-CW complex such that, for each subgroup H of G, H ∗ ( X H ; Z n
Ronald M. Dotzel
openalex   +3 more sources

On equivariant $p$-harmonic maps

open access: bronzeAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1998
In the first section of this paper we study the Dirichlet problem for equivariant (rotationally symmetric) p -harmonic maps from the Euclidean ball B^m to the closed upper ellipsoid E^m_+ (b)
Ali Fardoun
openalex   +3 more sources

Equivariant method for periodic maps [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1974
The notion of coherency with submanifolds for a Morse function on a manifold is introduced and discussed in a general way. A Morse inequality for a given periodic transformation which compares the invariants called qth Euler numbers on fixed point set and the invariants called qth Lefschetz numbers of the transformations is thus obtained.
Wu Hsiung Huang
openalex   +2 more sources

Deep generative model for the inverse design of Van der Waals heterostructures [PDF]

open access: yesScientific Reports
This study proposes ConditionCDVAE+, a crystal diffusion variational autoencoder (CDVAE) based deep generative model for inverse design of van der Waals (vdW) heterostructures.
Shikun Gao   +9 more
doaj   +2 more sources

Equivariant Phantom Maps

open access: green, 2001
A successful generalization of phantom map theory to the equivariant case for all compact Lie groups is obtained in this paper. One of the key observations is the discovery of the fact that homotopy fiber of equivariant completion splits as product of equivariant Eilenberg-Maclane spaces which seems impossible at first sight by the example of ...
Jianzhong Pan
openalex   +4 more sources

A continuity argument for a semilinear Skyrme model

open access: yesElectronic Journal of Differential Equations, 2010
We investigate a semilinear modification for the wave map problem proposed by Adkins and Nappi [1], and prove that in the equivariant case the solution remain continuous at the first possible singularity.
Dan-Andrei Geba, Sarada G. Rajeev
doaj   +3 more sources

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