Formality of the Little N-disks Operad Paperback / softback
by Pascal Lambrechts, Ismar Volic
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
The little N-disks operad, B, along with its variants, is an important tool in homotopy theory.
It is defined in terms of configurations of disjoint N-dimensional disks inside the standard unit disk in Rn and it was initially conceived for detecting and understanding N-fold loop spaces.
Its many uses now stretch across a variety of disciplines including topology, algebra, and mathematical physics.
In this paper, the authors develop the details of Kontsevich's proof of the formality of little N-disks operad over the field of real numbers.
More precisely, one can consider the singular chains C* (BR) on B as well as the singular homology H*((BR) on B.
These two objects are operads in the category of chain complexes.
The formality then states that there is a zig-zag of quasi-isomorphisms connecting these two operads.
The formality also in some sense holds in the category of commutative differential graded algebras.
The authors additionally prove a relative version of the formality for the inclusion of the little m-disks operad in the little N-disks operad when N³ 2m 1.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:116 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2014
- Category:
- ISBN:9780821892121
Other Formats
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Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:116 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2014
- Category:
- ISBN:9780821892121
