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Equivariant cohomology of the skyrmion bundle

Gross, Christian (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

The author constructs the gauged Skyrme model by introducing the skyrmion bundle as follows: instead of considering maps $U : M \to {SU}_{N_{F}}$ he thinks of the meson fields as of global sections in a bundle $B (M, {SU}_{N_{F}}, G) = P (M, G) \times_{G} {SU}_{N_{F}}$ . For calculations within the skyrmion bundle the author introduces by means of the so-called equivariant cohomology an analogue of the topological charge and the Wess-Zumino term. The final result of this paper is the following Theorem. For the skyrmion bundle with $N_{F} \leq 6$ , one has $H^{*} (E G \times_{G} {SU}_{N_{F}}) ≅ H^{*} {({SU}_{N_{F}})}^{G} ≅ S ({\underset{̲}{G}}^{*}) \otimes H^{*} ({SU}_{N_{F}}) ≅ H^{*} (B G) \otimes H^{*} ({SU}_{N_{F}}),$ where $E G (B G, G)$ is the universal bundle...

Equivariant Embeddings of Differentiable Spaces

Rivas, R., González, J., De Salas, J. (2001)

Serdica Mathematical Journal

Given a differentiable action of a compact Lie group G on a compact smooth manifold V , there exists [3] a closed embedding of V into a finite-dimensional real vector space E so that the action of G on V may be extended to a differentiable linear action (a linear representation) of G on E. We prove an analogous equivariant embedding theorem for compact differentiable spaces (∞-standard in the sense of [6, 7, 8]).

Equivariant Euler characteristics and $K$ -homology Euler classes for proper cocompact $G$ -manifolds.

Lück, Wolfgang, Rosenberg, Jonathan (2003)

Geometry & Topology

Equivariant harmonic maps between manifolds with metrics of $(p, q)$ -signature

Andrea Ratto (1989)

Annales de l'I.H.P. Analyse non linéaire

Equivariant harmonic maps into the sphere via isoparametric maps.

Y.L. Xin (1993)

Manuscripta mathematica

Equivariant Jets.

C.T.C. Wall (1985)

Mathematische Annalen

Equivariant maps of joins of finite G-sets and an application to critical point theory

Danuta Rozpłoch-Nowakowska (1992)

Annales Polonici Mathematici

A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function $f : S^{n} \to ℝ$ , where G is a finite nontrivial group acting freely and orthogonally on $ℝ^{n + 1} 0$ . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.

Equivariant spectral triples

Andrzej Sitarz (2003)

Banach Center Publications

We present the review of noncommutative symmetries applied to Connes' formulation of spectral triples. We introduce the notion of equivariant spectral triples with Hopf algebras as isometries of noncommutative manifolds, relate it to other elements of theory (equivariant K-theory, homology, equivariant differential algebras) and provide several examples of spectral triples with their isometries: isospectral (twisted) deformations (including noncommutative torus) and finite spectral triples.

Ergodicité de fonctions propres pour des problèmes aux limites

Patrick Gérard, Eric Leichtnam (1991/1992)

Séminaire Équations aux dérivées partielles (Polytechnique)

Ergodicité et fonctions propres du laplacien

Y. Colin de Verdière (1984/1985)

Séminaire Équations aux dérivées partielles (Polytechnique)

Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere

Ľubomír Baňas, Zdzisław Brzeźniak, Mikhail Neklyudov, Martin Ondreját, Andreas Prohl (2015)

Czechoslovak Mathematical Journal

We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering only solutions which are independent of the space variable. This simplification leads to a degenerate stochastic equation in the tangent bundle of the 2D sphere. Studying this equation, we prove existence and non-uniqueness of invariant probability measures for the original problem and obtain also results on attractivity towards an invariant measure. We also...

Erratum: Heat diffusion on homogeneous trees. Note on a paper by G. Medolla and A. G. Setti: Long time heat diffusion on homogeneous trees

Wolfgang Woess (2002)

Bollettino dell'Unione Matematica Italiana

Currently displaying 1301 – 1320 of 5449

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Displaying 1301 – 1320 of 5449

Equivariant cohomology of the skyrmion bundle

Equivariant Embeddings of Differentiable Spaces

Equivariant Euler characteristics and $K$ -homology Euler classes for proper cocompact $G$ -manifolds.

Equivariant harmonic maps between manifolds with metrics of $(p, q)$ -signature

Equivariant harmonic maps into the sphere via isoparametric maps.

Equivariant Jets.

Equivariant maps of joins of finite G-sets and an application to critical point theory

Equivariant spectral triples

Ergodicité de fonctions propres pour des problèmes aux limites

Ergodicité et fonctions propres du laplacien

Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere

Errata to the paper "On a functional equation satisfied by certain Dirichlet series" (Acta Arith. 71 (1995), 265-272)

Errata to the Paper: On the Heat Equation and the Index Theorem.

Errata-Corrigé : «Remarques sur les équations de Navier-Stokes stationnaires»

Erratum

Erratum: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.

Erratum : «Approximation par la diffusion et automorphismes hyperboliques du tore»

Erratum : “Closed transverse $(p, p)$ -forms on compact complex manifolds”

Erratum: Geometry of the Rolling Ellipsoid

Erratum: Heat diffusion on homogeneous trees. Note on a paper by G. Medolla and A. G. Setti: Long time heat diffusion on homogeneous trees

Currently displaying 1301 – 1320 of 5449