Results 51 to 60 of about 933 (203)
Constructing homotopy equivalences
Topology, 1984 A homotopy equivalence h: M'\(\to M\) between closed manifolds is called CP if, after composing with a homeomorphism, it can be obtained by cutting along a codimension 1 submanifold N and glueing the pieces together by a homeomorphism homotopic to the identity. If N has the same fundamental group as M, we say h is SCP.
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Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle
Optimal Control Applications and Methods, Volume 47, Issue 2, Page 643-657, March/April 2026.(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov +2 more
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Homotopy Groups of the Space of Self-Homotopy-Equivalences [PDF]
Transactions of the American Mathematical Society, 1981 Let M M be a connected sum of r r closed aspherical manifolds of dimension n ⩾ 3 n \geqslant 3 , and let E M EM denote the space of self-homotopy-equivalences of M M , with basepoint the identity map of M M .
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Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal +2 more
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Homotopy equivalences between p-subgroup categories [PDF]
Journal of Pure and Applied Algebra, 2015 Let p be a prime number and G a finite group of order divisible by p. Quillen showed that the Brown poset of nonidentity p-subgroups of G is homotopy equivalent to its subposet of nonidentity elementary abelian subgroups. We show here that a similar statement holds for the fusion category of nonidentity p-subgroups of G. Other categories of p-subgroups
Gelvin, Matthew Justin Karcher +1 more
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Taking quotient by a unipotent group induces a homotopy equivalence [PDF]
, 2021 Mikhail Borovoi, A. A. Gornitskii
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Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
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The systole of random hyperbolic 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the systole of a model of random hyperbolic 3‐manifolds introduced in Petri and Raimbault [Comment. Math. Helv. 97 (2022), no. 4, 729–768], answering a question posed in that same article. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces.
Anna Roig‐Sanchis
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Critically fixed Thurston maps: classification, recognition, and twisting
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
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The motive of the Hilbert scheme of points in all dimensions
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo +3 more
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