Results 81 to 90 of about 59,724 (184)
Bulletin of the American Mathematical Society, 1995 Homotopy Lie groups, recently invented by W.G. Dwyer and C.W. Wilkerson [13], represent the culmination of a long evolution. The basic philosophy behind the process was formulated almost 25 years ago by Rector [32, 33] in his vision of a homotopy theoretic incarnation of Lie group theory.
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Families of singular algebraic varieties that are rationally elliptic spaces
Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
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Hearing exotic smooth structures
Advanced Nonlinear StudiesThis paper explores the existence and properties of basic eigenvalues and eigenfunctions associated with the Riemannian Laplacian on closed, connected Riemannian manifolds featuring an effective isometric action by a compact Lie group.
Cavenaghi Leonardo F. +2 more
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The Lifting Properties of A-Homotopy Theory
, 2019 In classical homotopy theory, two spaces are homotopy equivalent if one space can be continuously deformed into the other. This theory, however, does not respect the discrete nature of graphs.
Hardeman, Rachel
core
International Journal of Mathematics and Mathematical Sciences, 2006 We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
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On central automorphisms of crossed modules
Karpatsʹkì Matematičnì Publìkacìï, 2018 A crossed module $(T,G,\partial)$ consist of a group homomorphism $\partial:T\rightarrow G$ together with an action $(g,t)\rightarrow{}^{\,g}t$ of $G$ on $T$ satisfying $\partial(^{\,g}t)=g\partial(t)g^{-1}$ and $\,^{\partial(s)}t=sts^{-1}$, for all $g ...
M. Dehghani, B. Davvaz
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Irresolute Homotopy and Covering Theory in Irresolute Topological Groups
AxiomsIn this paper, we explore certain properties related to connectedness and introduce the definition of irresolute paths. Subsequently, we define the concepts of semi-path connectedness, locally semi-path connectedness, and semi-locally s-simply connected ...
Kadriye Başar, Hürmet Fulya Akız
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MATEC Web of Conferences, 2017 Our research focuses on operation of a heterogeneous robotic group that carries out point-to point navigation in GPS-denied dynamic environment, applying a combined local and global planning approach.
Lavrenov Roman, Magid Evgeni
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Journal of High Energy Physics, 2019 The consistent recursive subtraction of UV divergences order by order in the loop expansion for spontaneously broken effective field theories with dimension-6 derivative operators is presented for an Abelian gauge group.
D. Binosi, A. Quadri
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Algebraic Structures Based on a Classifying Space of a Compact Lie Group
Abstract and Applied Analysis, 2013 We analyze the algebraic structures based on a classifying space of a compact Lie group. We construct the connected graded free Lie algebra structure by considering the rationally nontrivial indecomposable and decomposable generators of homotopy groups ...
Dae-Woong Lee
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