Differential forms and homotopy groups
نویسندگان
چکیده
منابع مشابه
Braiding of differential forms and homotopy types
Let k be an arbitrary commutative ring. We associate fonctorially to any simplicial set X a differential graded algebra Ŵ∗(X) with a globally defined braiding, which is an improvement of a previous work [3,4]. If k= Z and with some mild finiteness conditions on X, we show that the quasi-isomorphisms class of Ŵ∗(X) as a braided differential graded algebra determines the p-adic homotopy type of X...
متن کاملArtin Braid Groups and Homotopy Groups
We study the Brunnian subgroups and the boundary Brunnian subgroups of the Artin braid groups. The general higher homotopy groups of the sphere are given by mirror symmetric elements in the quotient groups of the Artin braid groups modulo the boundary Brunnian braids, as well as given as a summand of the center of the quotient groups of Artin pure braid groups modulo boundary Brunnian braids. T...
متن کاملOn braid groups and homotopy groups
The purpose of this article is to give an exposition of certain connections between the braid groups [1, 3] and classical homotopy groups which arises in joint work of Jon Berrick, Yan-Loi Wong and the authors [8, 2, 32]. These connections emerge through several other natural contexts such as Lie algebras attached to the descending central series of pure braid groups arising as Vassiliev invari...
متن کاملCompensated Compactness for Differential Forms in Carnot Groups and Applications
In this paper we prove a compensated compactness theorem for differential forms of the intrinsic complex of a Carnot group. The proof relies on a L–Hodge decomposition for these forms. Because of the lack of homogeneity of the intrinsic exterior differential, Hodge decomposition is proved using the parametrix of a suitable 0order Laplacian on forms.
متن کاملGraph Braid Groups Exterior Face Algebras and Differential Forms
I am a geometric group theorist. Geometric group theory is a highly interdisciplinary field focusing on the study of groups via their actions on geometric spaces. Geometric group theory uses the tools and approaches of algebraic topology, commutative algebra, semigroup theory, hyperbolic geometry, geometric analysis, combinatorics, computational group theory, computational complexity theory, lo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1971
ISSN: 0022-040X
DOI: 10.4310/jdg/1214430406