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2,118
Configurations, Braids and HOMOTOPY GROUPS
"... Simplicial and ∆structures of configuration spaces are investigated. New connections between the homotopy groups of the 2sphere and the braid groups are given. The higher homotopy groups of the 2 sphere are shown to be derived groups of the braid groups over the 2sphere. Moreover the higher hom ..."
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Cited by 5 (4 self)
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Simplicial and ∆structures of configuration spaces are investigated. New connections between the homotopy groups of the 2sphere and the braid groups are given. The higher homotopy groups of the 2 sphere are shown to be derived groups of the braid groups over the 2sphere. Moreover the higher
On Braid Groups And Homotopy Groups
"... This article is an exposition of certain connections between the braid groups, classical homotopy groups, as well as Lie algebras attached to the descending central series of pure braid groups arising as Vassiliev invariants of pure braids. ..."
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This article is an exposition of certain connections between the braid groups, classical homotopy groups, as well as Lie algebras attached to the descending central series of pure braid groups arising as Vassiliev invariants of pure braids.
Secondary homotopy groups
 Preprint of the MaxPlanckInstitut für Mathematik MPIM200636, http://arxiv.org/abs/math.AT/0604029
, 2005
"... Abstract. Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also yield algebraic models of (n − 1)connected (n + 1)types for n ≥ 0. ..."
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Cited by 6 (4 self)
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Abstract. Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also yield algebraic models of (n − 1)connected (n + 1)types for n ≥ 0.
The homotopy groups of the spectrum Tmf
, 2012
"... We use the structure of the homotopy groups of the connective spectrum tmf of topological modular forms and the elliptic and AdamsNovikov spectral sequences to compute the homotopy groups of the nonconnective version Tmf of that spectrum. This is done separately for the localizations at 2, 3 and h ..."
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We use the structure of the homotopy groups of the connective spectrum tmf of topological modular forms and the elliptic and AdamsNovikov spectral sequences to compute the homotopy groups of the nonconnective version Tmf of that spectrum. This is done separately for the localizations at 2, 3
ORBIFOLDS AND STABLE HOMOTOPY GROUPS
, 2005
"... Abstract. Lie groupoids generalize transformation groups, and so provide a natural language for studying orbifolds [13] and other noncommutative geometries. In this paper, we investigate a connection between orbifolds and equivariant stable homotopy theory using such groupoids. A different sort of t ..."
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Cited by 1 (0 self)
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Abstract. Lie groupoids generalize transformation groups, and so provide a natural language for studying orbifolds [13] and other noncommutative geometries. In this paper, we investigate a connection between orbifolds and equivariant stable homotopy theory using such groupoids. A different sort
ON [L]HOMOTOPY GROUPS
, 2000
"... Abstract. The paper is devoted to investigation of some properties of [L]homotopy groups. It is proved, in particular, that for any finite CWcomplex L, satisfying double inequality [Sn] < [L] ≤ [Sn+1], π [L] n (Sn) = Z. Here [L] denotes extension type of complex L and π [L] n (X) denotes nth ..."
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Cited by 2 (1 self)
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Abstract. The paper is devoted to investigation of some properties of [L]homotopy groups. It is proved, in particular, that for any finite CWcomplex L, satisfying double inequality [Sn] < [L] ≤ [Sn+1], π [L] n (Sn) = Z. Here [L] denotes extension type of complex L and π [L] n (X) denotes n
ON HIGHER HOMOTOPY GROUPS OF PENCILS
, 2002
"... We consider a large, convenient enough class of pencils on singular complex spaces. By introducing variation maps in homotopy, we prove in a synthetic manner a general Zariskivan Kampen type result for higher homotopy groups, which in homology is known as the “second Lefschetz theorem”. ..."
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We consider a large, convenient enough class of pencils on singular complex spaces. By introducing variation maps in homotopy, we prove in a synthetic manner a general Zariskivan Kampen type result for higher homotopy groups, which in homology is known as the “second Lefschetz theorem”.
On The Rhodes ’ Equivariant Homotopy Groups
"... In this work we shall present a family of topological invariants originally introduced by F. Rhodes in a series of papers of the 60’s. They were conceived as a try to set classical facts concerning homotopy groups into an equivariant context. Although they are far away from what is today as ”classic ..."
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In this work we shall present a family of topological invariants originally introduced by F. Rhodes in a series of papers of the 60’s. They were conceived as a try to set classical facts concerning homotopy groups into an equivariant context. Although they are far away from what is today
ON THE HOMOTOPY GROUPS OF PUNCTURED MANIFOLDS
"... ABSTRACT. A condition is presented for punctured manifolds to have finitely generated homotopy groups. Applications to the homotopy of deleted products, configuration spaces and spaces of smooth erabeddings are given. A punctured manifold is a finite dimensional manifold without boundary with a fini ..."
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ABSTRACT. A condition is presented for punctured manifolds to have finitely generated homotopy groups. Applications to the homotopy of deleted products, configuration spaces and spaces of smooth erabeddings are given. A punctured manifold is a finite dimensional manifold without boundary with a
ON OMINIMAL HOMOTOPY GROUPS
"... ABSTRACT. We work over an ominimal expansion of a real closed field. The ominimal homotopy groups of a definable set are defined naturally using definable continuous maps. We prove that any two semialgebraic maps which are definably homotopic are also semialgebraically homotopic. This result toget ..."
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Cited by 7 (2 self)
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ABSTRACT. We work over an ominimal expansion of a real closed field. The ominimal homotopy groups of a definable set are defined naturally using definable continuous maps. We prove that any two semialgebraic maps which are definably homotopic are also semialgebraically homotopic. This result
Results 1  10
of
2,118