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Equivariant map superalgebras [PDF]
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
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Moment Maps and Equivariant Volumes [PDF]
misprints corrected, some new results ...
Alberto Della Vedova, Roberto Paoletti
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Critical $O(d)$-equivariant biharmonic maps [PDF]
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.
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Degree Theory for Equivariant Maps. I [PDF]
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
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Equivariant Maps for Homology Representations [PDF]
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
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On equivariant $p$-harmonic maps
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
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Equivariant method for periodic maps [PDF]
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
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Deep generative model for the inverse design of Van der Waals heterostructures [PDF]
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
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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
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A continuity argument for a semilinear Skyrme model
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
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