On the fundamental group of compact homogeneous manifolds carrying an invariant fat distribution
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DOI: 10.1007/s00013-017-1021-8
Abstract: We show that a homogeneous space of a compact Lie group carrying an invariant fat distribution must have finite fundamental group. read more here.
Keywords: fundamental group; carrying invariant; group; invariant fat ... See more keywords
TOPOLOGICAL 4-MANIFOLDS WITH 4-DIMENSIONAL FUNDAMENTAL GROUP
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DOI: 10.1017/s0017089521000215
Abstract: Abstract Let $\pi$ be a group satisfying the Farrell–Jones conjecture and assume that $B\pi$ is a 4-dimensional Poincaré duality space. We consider topological, closed, connected manifolds with fundamental group $\pi$ whose canonical map to $B\pi$… read more here.
Keywords: topological manifolds; fundamental group; manifolds dimensional; rigidity ... See more keywords
The arithmetic local Nori fundamental group
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DOI: 10.1090/tran/8504
Abstract: In this paper we introduce the local Nori fundamental group scheme of a reduced scheme or algebraic stack over a perfect field $k$. We give particular attention to the case of fields: to any field… read more here.
Keywords: nori fundamental; local nori; fundamental group; arithmetic local ... See more keywords
Fundamental group of the digital circle
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DOI: 10.1142/s1793557118500821
Abstract: An analog of extended real line, [Formula: see text]-sphere and [Formula: see text]-disc in the setting of digital topology has been provided and the fundamental group of the digital circle has been computed which comes… read more here.
Keywords: fundamental group; group; group digital; formula see ... See more keywords
On the Topological Dynamics of Dynamical Manifolds and Their Fundamental Group
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DOI: 10.1155/2021/5697831
Abstract: The paper aims to deduce the relation between the category of topology and algebra from viewpoint of geometry and dynamical system. We introduce and define a dynamical manifold as a manifold associated with a time… read more here.
Keywords: fundamental group; dynamical manifolds; dynamics dynamical; manifolds fundamental ... See more keywords
Lifting coarse homotopies
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DOI: 10.1515/advgeom-2021-0005
Abstract: Abstract Coarse geometry, and in particular coarse homotopy theory, has proven to be a powerful tool for approaching problems in geometric group theory and higher index theory. In this paper,we continue to develop theory in… read more here.
Keywords: fundamental group; lifting coarse; group; geometry ... See more keywords
On the fundamental group schemes of certain quotient varieties
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DOI: 10.2748/tmj.20200727
Abstract: In \cite{armstrong}, M. Armstrong proved a beautiful result describing fundamental groups of quotient spaces. In this paper we prove an analogue of Armstrong's theorem in the setting of $F$-divided \cite{dS07} and essentially finite \cite{Nori76} fundamental… read more here.
Keywords: certain quotient; group schemes; schemes certain; fundamental group ... See more keywords
One-relator Sasakian groups
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DOI: 10.4064/cm8521-3-2021
Abstract: We prove that any one-relator group $G$ is the fundamental group of a compact Sasakian manifold if and only if $G$ is either finite cyclic or isomorphic to the fundamental group of a compact Riemann… read more here.
Keywords: group compact; relator; relator sasakian; fundamental group ... See more keywords