Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Equivariant formality of the little disks operad
View through CrossRef
Abstract
The little
n
-disks operad is
$SO(n)$
and
$O(n)$
-equivariantly formal over the rationals. Equivalently, the oriented and unoriented framed little disks operads are rationally formal as
$\infty $
-operads.
Cambridge University Press (CUP)
Title: Equivariant formality of the little disks operad
Description:
Abstract
The little
n
-disks operad is
$SO(n)$
and
$O(n)$
-equivariantly formal over the rationals.
Equivalently, the oriented and unoriented framed little disks operads are rationally formal as
$\infty $
-operads.
Related Results
Generalizations of the associative operad and convergent rewrite systems
Generalizations of the associative operad and convergent rewrite systems
The associative operad is the quotient of the magmatic operad by the operad congruence identifying the two binary trees of degree $2$. We introduce here a generalization of the ass...
Equivariant parametrized topological complexity
Equivariant parametrized topological complexity
AbstractIn this paper, we define and study an equivariant analogue of Cohen, Farber and Weinberger’s parametrized topological complexity. We show that several results in the non-eq...
Introductory Lectures on Equivariant Cohomology
Introductory Lectures on Equivariant Cohomology
Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been...
General Properties of Equivariant Cohomology
General Properties of Equivariant Cohomology
This chapter assesses the general properties of equivariant cohomology. Both the homotopy quotient and equivariant cohomology are functorial constructions. Equivariant cohomology i...
Equivariance-Guided Rotation-Invariant Self-Supervised Learning with p4-Equivariant CNNs
Equivariance-Guided Rotation-Invariant Self-Supervised Learning with p4-Equivariant CNNs
Self-supervised learning (SSL) in computer vision has advanced through joint-embedding methods that learn representations invariant to semantic transformations between image pairs....
Equivariance-Guided Rotation-Invariant Self-Supervised Learning with p4-Equivariant CNNs
Equivariance-Guided Rotation-Invariant Self-Supervised Learning with p4-Equivariant CNNs
Self-supervised learning (SSL) in computer vision has advanced through joint-embedding methods that learn representations invariant to semantic transformations between image pairs....
Deforming prestacks : a box operadic approach
Deforming prestacks : a box operadic approach
This thesis is devoted to the study of prestacks and their deformation theory through box operads. Prestacks are algebro-geometric objects which generalize presheaves of algebras a...
Localization Formulas
Localization Formulas
This chapter highlights localization formulas. The equivariant localization formula for a torus action expresses the integral of an equivariantly closed form as a finite sum over t...