Results 11 to 20 of about 209,957 (232)
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 $\mathfrak{g}$.
A Savage+20 more
core +4 more sources
Equivariant extensions of maps [PDF]
This paper treats extension and retraction properties in the category *$/9 of compact metric spaces with periodic maps of a prime period p; the subspaces and maps in J^p are called equivariant subspaces and maps, respectively. The motivation of the paper is the following question: Let E be a Euclidean space and α: E X E-> E X E be the involution (x, y)
Jan Jaworowski
openalex +4 more sources
Equivariant Phantom maps [PDF]
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 ...
arxiv +3 more sources
Equivariant acyclic maps [PDF]
Amiya K. Mukherjee+1 more
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The moment map and equivariant cohomology
Michael Atiyah, R. Bott
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The degree of equivariant maps
AbstractIn this paper, we study the degree of equivariant maps between G-manifolds by using cohomological index theory. As applications, we have some Borsuk–Ulam type theorems for Stiefel manifolds.
Yasuhiro Hara
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Reidemeister numbers of equivariant maps
AbstractIn this paper, we generalize the arithmetic congruence relations among the Reidemeister numbers of iterates of maps to similar congruences for equivariant maps.
Alexander Fel’shtyn+2 more
openalex +3 more sources
Cohomology of Equivariant Maps [PDF]
J. Dugundji
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On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation [PDF]
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +3 more sources
Equivariant prequantization and the moment map
Abstract If ω is a closed G-invariant 2-form and μ is a moment map, we obtain necessary and sufficient conditions for equivariant prequantizability that can be computed in terms of the moment map μ. Our main result is that G-equivariant prequantizability is related to the fact that the moment map μ should be quantized for certain vectors
Roberto Ferreiro Pérez
openalex +5 more sources