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151
Massey products and deformations
, 1996
"... It is common knowledge that the construction of oneparameter deformations of various algebraic structures, like associative algebras or Lie algebras, involves certain conditions on cohomology classes, and that these conditions are usually expressed in terms of Massey products, or rather Massey powe ..."
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It is common knowledge that the construction of oneparameter deformations of various algebraic structures, like associative algebras or Lie algebras, involves certain conditions on cohomology classes, and that these conditions are usually expressed in terms of Massey products, or rather Massey
Tensor Product of Massey Products
"... Abstract In this paper, we interpret Massey products in terms of realizations (twitsting cochains) of certain differential graded coalgebras with values in differential graded algebras. In the case where the target algebra is the cobar construction of a differential graded commutative Hopf algebra, ..."
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Abstract In this paper, we interpret Massey products in terms of realizations (twitsting cochains) of certain differential graded coalgebras with values in differential graded algebras. In the case where the target algebra is the cobar construction of a differential graded commutative Hopf algebra
Massey products and critical points
 in ”Rothenberg Festschrift”, Contemporary Mathematics, AMS
"... Abstract. In this paper we use cupproducts and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1form in a given cohomology class. Let X be a closed manifold and let ξ ∈ H 1 (X;R) be a nonzero cohomology class. Th ..."
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Abstract. In this paper we use cupproducts and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1form in a given cohomology class. Let X be a closed manifold and let ξ ∈ H 1 (X;R) be a nonzero cohomology class
Massey products and configuration spaces
, 2003
"... The purpose of this paper is to compare two spectral sequences converging to the cohomology of a configuration space. The collapsing of these spectral sequences is established, in some cases, using Massey products. AMS Classification: 55P19, 55P35, 57N60. Key words: Configuration spaces, Leray spect ..."
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The purpose of this paper is to compare two spectral sequences converging to the cohomology of a configuration space. The collapsing of these spectral sequences is established, in some cases, using Massey products. AMS Classification: 55P19, 55P35, 57N60. Key words: Configuration spaces, Leray
Configuration space and Massey products
, 2003
"... The purpose of this paper is to study and compare the collapsing of two spectral sequences converging to the cohomology of a configuration space. The non collapsing of these spectral sequences is related, in some cases, to the existence of Massey products in the cohomology of the manifold M. Let lk ..."
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Cited by 2 (0 self)
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The purpose of this paper is to study and compare the collapsing of two spectral sequences converging to the cohomology of a configuration space. The non collapsing of these spectral sequences is related, in some cases, to the existence of Massey products in the cohomology of the manifold M. Let lk
INFINITY ALGEBRAS, MASSEY PRODUCTS, AND DEFORMATIONS
, 1998
"... The notion of a Massey Fproduct was introduced in [4] in order to give a unified description of various deformation problems in terms of an extension of the usual Massey product. The usual Massey product which arises in algebra deformation theory describes the conditions under which an infinitesima ..."
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Cited by 1 (1 self)
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The notion of a Massey Fproduct was introduced in [4] in order to give a unified description of various deformation problems in terms of an extension of the usual Massey product. The usual Massey product which arises in algebra deformation theory describes the conditions under which
SPLITTING VARIETIES FOR TRIPLE MASSEY PRODUCTS
"... ABSTRACT. We construct splitting varieties for triple Massey products. For a, b, c ∈ F ∗ the triple Massey product 〈a, b, c 〉 of the corresponding elements of H 1 (F, µ2) contains 0 if and only if there is x ∈ F ∗ and y ∈ F [ √ a, √ c] ∗ such that bx 2 = N F[ a, c]/F(y), where ..."
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Cited by 8 (0 self)
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ABSTRACT. We construct splitting varieties for triple Massey products. For a, b, c ∈ F ∗ the triple Massey product 〈a, b, c 〉 of the corresponding elements of H 1 (F, µ2) contains 0 if and only if there is x ∈ F ∗ and y ∈ F [ √ a, √ c] ∗ such that bx 2 = N F[ a, c]/F(y), where
SModule and the New MasseyProduct
 JOURNAL OF ALGEBRA 190, 487497
, 1997
"... In this paper, we give the definition of SModule and with this module theory prove the properties of the new Masseyproduct defined in [6]. As an application, we find new relations of hi and bj in the E2term of the classical Adams spectral sequence. ..."
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In this paper, we give the definition of SModule and with this module theory prove the properties of the new Masseyproduct defined in [6]. As an application, we find new relations of hi and bj in the E2term of the classical Adams spectral sequence.
Results 1  10
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