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Journal articles on the topic 'P-equivariant maps'

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

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Behrens, Mark, and Jack Carlisle. "Periodic phenomena in equivariant stable homotopy theory." Quarterly Journal Of Mathematics, July 10, 2025. https://doi.org/10.1093/qmath/haaf013.

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ABSTRACT Building off of many recent advances in the subject by many different researchers, we describe a picture of $A$-equivariant chromatic homotopy theory, which mirrors the now classical non-equivariant picture of Morava, Miller–Ravenel–Wilson and Devinatz–Hopkins–Smith, where $A$ is a finite abelian $p$-group. Specifically, we review the structure of the Balmer spectrum of the category of $A$-spectra, and the work of Hausmann–Meier connecting this to $\mathrm{MU}_A$ and equivariant formal group laws. Generalizing work of Bhattacharya et al., we introduce equivariant analogues of $v_n$-se
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12

Castillo, Jesús M. F., and Valentin Ferenczi. "Group Actions on Twisted Sums of Banach Spaces." Bulletin of the Malaysian Mathematical Sciences Society 46, no. 4 (2023). http://dx.doi.org/10.1007/s40840-023-01531-0.

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AbstractWe study bounded actions of groups and semigroups G on exact sequences of Banach spaces from the point of view of (generalized) quasilinear maps, characterize the actions on the twisted sum space by commutator estimates and introduce the associated notions of G-centralizer and G-equivariant map. We will show that when (A) G is an amenable group and (U) the target space is complemented in its bidual by a G-equivariant projection, then uniformly bounded compatible families of operators generate bounded actions on the twisted sum space; that compatible quasilinear maps are linear perturba
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13

Tilouine, Jacques, and Eric Urban. "On the Cohomology of GL(N) and Adjoint Selmer Groups." International Mathematics Research Notices, October 26, 2023. http://dx.doi.org/10.1093/imrn/rnad163.

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Abstract We prove under certain conditions (local-global compatibility and vanishing of modulo $p$ cohomology), a generalization of a theorem of Galatius and Venkatesh. We consider the case of $\operatorname{\textsf{GL}}(N)$ over a CM field; we construct a Hecke-equivariant injection from the divisible group associated to the first fundamental group of a derived deformation ring to the Selmer group of the twisted dual adjoint motive with divisible coefficients and we identify its cokernel as the first Tate-Shafarevich group of this motive. Actually, we also construct similar maps for higher ho
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14

Berest, Yuri, Ajay C. Ramadoss, and Wai-Kit Yeung. "Representation Homology of Topological Spaces." International Mathematics Research Notices, February 29, 2020. http://dx.doi.org/10.1093/imrn/rnaa023.

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Abstract In this paper, we introduce and study representation homology of topological spaces, which is a natural homological extension of representation varieties of fundamental groups. We give an elementary construction of representation homology parallel to the Loday–Pirashvili construction of higher Hochschild homology; in fact, we establish a direct geometric relation between the two theories by proving that the representation homology of the suspension of a (pointed connected) space is isomorphic to its higher Hochschild homology. We also construct some natural maps and spectral sequences
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15

Branding, Volker, and Anna Siffert. "On p-harmonic self-maps of spheres." Calculus of Variations and Partial Differential Equations 62, no. 4 (2023). http://dx.doi.org/10.1007/s00526-023-02481-y.

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AbstractIn this manuscript we study rotationally p-harmonic maps between spheres. We prove that for (p) given, there exist infinitely many p-harmonic self-maps of $$\mathbb {S}^m$$ S m for each $$m\in \mathbb {N}$$ m ∈ N with $$p<m< 2+p+2\sqrt{p}$$ p < m < 2 + p + 2 p . In the case of the identity map of $$\mathbb {S}^m$$ S m we explicitly determine the spectrum of the corresponding Jacobi operator and show that for $$p>m$$ p > m , the identity map of $$\mathbb {S}^m$$ S m is equivariantly stable when interpreted as a p-harmonic self-map of $$\mathbb {S}^m$$ S m .
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16

Ferrari, Lucia, Patrizio Frosini, Nicola Quercioli, and Francesca Tombari. "A topological model for partial equivariance in deep learning and data analysis." Frontiers in Artificial Intelligence 6 (December 21, 2023). http://dx.doi.org/10.3389/frai.2023.1272619.

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In this article, we propose a topological model to encode partial equivariance in neural networks. To this end, we introduce a class of operators, called P-GENEOs, that change data expressed by measurements, respecting the action of certain sets of transformations, in a non-expansive way. If the set of transformations acting is a group, we obtain the so-called GENEOs. We then study the spaces of measurements, whose domains are subjected to the action of certain self-maps and the space of P-GENEOs between these spaces. We define pseudo-metrics on them and show some properties of the resulting s
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17

Rush, David B., and Xiaolin Shi. "On Orbits of Order Ideals of Minuscule Posets." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AS,..., Proceedings (2013). http://dx.doi.org/10.46298/dmtcs.12804.

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An action on order ideals of posets considered by Fon-Der-Flaass is analyzed in the case of posets arising from minuscule representations of complex simple Lie algebras. For these minuscule posets, it is shown that the Fon-Der-Flaass action exhibits the cyclic sieving phenomenon, as defined by Reiner, Stanton, and White. A uniform proof is given by investigation of a bijection due to Stembridge between order ideals of minuscule posets and fully commutative Weyl group elements. This bijection is proven to be equivariant with respect to a conjugate of the Fon-Der-Flaass action and an arbitrary C
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