Relevant bibliographies by topics / P-equivariant maps

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Academic literature on the topic 'P-equivariant maps'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "P-equivariant maps"

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Fardoun, Ali. "On equivariant p -harmonic maps." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 15, no. 1 (1998): 25–72. http://dx.doi.org/10.1016/s0294-1449(99)80020-1.

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Bartsch, Thomas. "A simple proof of the degree formula for (ℤ/p)-equivariant maps/p)-equivariant maps". Mathematische Zeitschrift 212, № 1 (1993): 285–92. http://dx.doi.org/10.1007/bf02571658.

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Meyer, Dagmar M. "Z/p-equivariant maps between lens spaces and spheres." Mathematische Annalen 312, no. 2 (1998): 197–214. https://doi.org/10.5281/zenodo.15888.

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This is the author's accepted manuscript that was prepared using the style file provided by Springer. Apart from the typesetting and layout it coincides with the version published in Mathematische Annalen, 1998, Volume 312, Number 2, Pages 197-214. The final publication is available at Springer via http://dx.doi.org/10.1007/s002080050219.
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Meyer, D. M. "${\Bbb Z}/p$ -equivariant maps between lens spaces and spheres." Mathematische Annalen 312, no. 2 (1998): 197–214. http://dx.doi.org/10.1007/s002080050219.

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Ratto, Andrea. "Equivariant harmonic maps between manifolds with metrics of ( p, q )-signature." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 6, no. 6 (1989): 503–24. http://dx.doi.org/10.1016/s0294-1449(16)30312-2.

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Wisdom, Noah. "Properties and examples of 𝐴-Landweber exact spectra". Transactions of the American Mathematical Society, Series B 12, № 9 (2025): 298–322. https://doi.org/10.1090/btran/224.

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It is classically known that Landweber exact homology theories (complex oriented theories which are completely determined by complex cobordism) admit no nontrivial phantom maps. Herein we propose a definition of A A -Landweber exact spectra, for A A a compact abelian Lie group, and show that an analogous result on phantom maps holds. Also, we show that a conjecture of May on K U G KU_G is false. We do not prove an equivariant Landweber exact functor theorem, and therefore our result on phantom maps only applies to M U A MU_A , K U A KU_A , their p p -localizations, and B P A BP_A , which are s
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Elmer, Jonathan, and Müfit Sezer. "Degree bounds for modular covariants." Forum Mathematicum 32, no. 4 (2020): 905–10. http://dx.doi.org/10.1515/forum-2019-0196.

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AbstractLet {V,W} be representations of a cyclic group G of prime order p over a field {\Bbbk} of characteristic p. The module of covariants {\Bbbk[V,W]^{G}} is the set of G-equivariant polynomial maps {V\rightarrow W}, and is a module over {\Bbbk[V]^{G}}. We give a formula for the Noether bound {\beta(\Bbbk[V,W]^{G},\Bbbk[V]^{G})}, i.e. the minimal degree d such that {\Bbbk[V,W]^{G}} is generated over {\Bbbk[V]^{G}} by elements of degree at most d.
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ZHANG, NING. "THE PICARD GROUP OF THE LOOP SPACE OF THE RIEMANN SPHERE." International Journal of Mathematics 21, no. 11 (2010): 1387–99. http://dx.doi.org/10.1142/s0129167x10006471.

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The loop space Lℙ1 of the Riemann sphere consisting of all Ck or Sobolev Wk, p maps S1 → ℙ1 is an infinite dimensional complex manifold. We compute the Picard group pic(Lℙ1) of holomorphic line bundles on Lℙ1 as an infinite dimensional complex Lie group with Lie algebra the Dolbeault group H0, 1(Lℙ1). The group G of Möbius transformations and its loop group LG act on Lℙ1. We prove that an element of pic(Lℙ1) is LG-fixed if it is G-fixed, thus completely answering the question of Millson and Zombro about the G-equivariant projective embedding of Lℙ1.
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LANDI, GIOVANNI. "DECONSTRUCTING MONOPOLES AND INSTANTONS." Reviews in Mathematical Physics 12, no. 10 (2000): 1367–90. http://dx.doi.org/10.1142/s0129055x00000514.

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We give a unifying description of the Dirac monopole on the 2-sphere S2, of a graded monopole on a (2, 2)-supersphere S2, 2 and of the BPST instanton on the 4-sphere S4, by constructing a suitable global projector p via equivariant maps. This projector determines the projective modules of finite type of sections of the corresponding vector bundle. The canonical connection ∇ = p ◦ d is used to compute the topological charge which is found to be equal to -1 for the three cases. The transposed projector q = pt gives the value +1 for the charges; this showing that transposition of projectors, alth
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Balado-Alves, José Miguel. "Explicit Harmonic Self-maps of Complex Projective Spaces." Journal of Geometric Analysis 34, no. 1 (2023). http://dx.doi.org/10.1007/s12220-023-01465-w.

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AbstractWe study $$ { \textrm{SU}( p + 1 ) \times \textrm{SU}( n - p ) } $$ SU ( p + 1 ) × SU ( n - p ) -equivariant maps between complex projective spaces. For every $$ { n, p \in \mathbb {N}} $$ n , p ∈ N with $$ { 0 \le p < n } $$ 0 ≤ p < n , we construct two explicit families of uncountable many harmonic self-maps of $$ \mathbb{C}\mathbb{P}^{n}$$ C P n , one given by holomorphic maps and the other by maps that are neither holomorphic nor antiholomorphic. We prove that each solution is equivariantly weakly stable and explicitly compute the equivariant spectrum for some specific maps i
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Book chapters on the topic "P-equivariant maps"

1

C. Combe, Noémie. "Perspective Chapter: Wishart Matrices and Quantum Geometry – Foundations and Applications in Quantum Information." In Applications of Matrix Theory in the Digital Era [Working Title]. IntechOpen, 2025. https://doi.org/10.5772/intechopen.1010860.

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We present a unified framework for the study of Wishart matrices WpnΣ, which generalize the chi-squared distribution to matrix-variate settings and model the covariance structure of multivariate Gaussian data. After recalling their defining properties—additivity under independent summation W1+W2∼Wpn1+n2Σ, equivariance under linear maps AWAT∼WqnAΣAT, and their role as sample covariance matrices—we embed the positive-definite cone Sp+ within Monge-Ampère geometry. Here, Sp+ acquires a Hessian manifold structure with affine-invariant metric and volume form ω=detΣ−p+12dΣ, under which the Wishart d
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