scholarly journals Of Sullivan models, Massey products, and twisted Pontrjagin products

2013 ◽  
Vol 10 (2) ◽  
pp. 239-273 ◽  
Author(s):  
Somnath Basu
Keyword(s):  
Massey Products ◽  
Sullivan Models

Massey products andH(p, q)-systems

1973 ◽  
Vol 132 (1) ◽  
pp. 1-10
Author(s):  
Donald M. Davis ◽  
Victor P. Snaith
Keyword(s):  
Massey Products

scholarly journals Compact symplectic manifolds with free circle actions, and Massey products.

1991 ◽  
Vol 38 (2) ◽  
pp. 271-283 ◽  
Author(s):  
Marisa Fernández ◽  
Alfred Gray ◽  
John W. Morgan
Keyword(s):  
Symplectic Manifolds ◽  
Circle Actions ◽  
Massey Products

Two Applications of Homology Decompositions

1975 ◽  
Vol 27 (2) ◽  
pp. 323-329 ◽  
Author(s):  
Graham Hilton Toomer
Keyword(s):  
Doctoral Dissertation ◽  
Massey Products ◽  
Cornell University ◽  
Future Paper

We show that a map of rational spaces (see Definition 1) induces a map of homology sections at each stage, and that the k'-invariants are mapped naturally. This is used to characterize rational spaces in which all (matric) Massey products vanish as wedges of rational spheres, and yields the precise Eckmann-Hilton dual of a result of M. Dyer [7]. Berstein's result on co-H spaces [3] is also deduced. These results form a part of the author's doctoral dissertation at Cornell University written under Professor I. Berstein, to whom I express my sincere thanks for his patient help and encouragement. Extensions and counterexamples will appear in a future paper.

Single-Valued Massey Products

2014 ◽  
Vol 42 (11) ◽  
pp. 4609-4618 ◽  
Author(s):  
Ido Efrat
Keyword(s):  
Massey Products

Massey Products and Lower Central Series of Free Groups

1987 ◽  
Vol 39 (2) ◽  
pp. 322-337 ◽  
Author(s):  
Roger Fenn ◽  
Denis Sjerve
Keyword(s):  
Free Group ◽  
Differential Calculus ◽  
Free Groups ◽  
Lower Central Series ◽  
Central Series ◽  
Massey Product ◽  
Massey Products ◽  
One Dimensional ◽  
Image Position

The purpose of this paper is to continue the investigation into the relationships amongst Massey products, lower central series of free groups and the free differential calculus (see [4], [9], [12]). In particular we set forth the notion of a universal Massey product ≪α1, …, αk≫, where the αi are one dimensional cohomology classes. This product is defined with zero indeterminacy, natural and multilinear in its variables.In order to state the results we need some notation. Throughout F will denote the free group on fixed generators x1, …, xn andwill denote the lower central series of F. If I = (i1, …, ik) is a sequence such that 1 ≦ i1, …, ik ≦ n then ∂1 is the iterated Fox derivative and , where is the augmentation. By convention we set ∂1 = identity if I is empty.

$$A_\infty $$ Structures and Massey Products

2019 ◽  
Vol 17 (1) ◽  
Author(s):  
Urtzi Buijs ◽  
José M. Moreno-Fernández ◽  
Aniceto Murillo
Keyword(s):  
Massey Products

scholarly journals Vanishing of Massey Products and Brauer Groups

2015 ◽  
Vol 58 (4) ◽  
pp. 730-740 ◽  
Author(s):  
Ido Efrat ◽  
Eliyahu Matzri
Keyword(s):  
Prime Number ◽  
Galois Cohomology ◽  
Brauer Groups ◽  
Central Simple Algebras ◽  
Massey Products ◽  
Global Fields ◽  
Root Of Unity ◽  
Simple Algebras ◽  
Central Simple

AbstractLet p be a prime number and F a field containing a root of unity of order p. We relate recent results on vanishing of triple Massey products in the mod-p Galois cohomology of F, due to Hopkins, Wickelgren, Mináč, and Tân, to classical results in the theory of central simple algebras. We prove a stronger form of the vanishing property for global fields.

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