Pascal Lambrechts's Books

Formality of the Little $N$-disks Operad

By: Pascal Lambrechts, Ismar Volić

Write a review Read reviews Take a Quiz Solve Book Puzzle

Formality of the Little $N$-disks Operad

By: Pascal Lambrechts, Ismar Volić

The little -disks operad, , along with its variants, is an important tool in homotopy theory. It is defined in terms of configurations of disjoint -dimensional disks inside the standard unit disk in and it was initially conceived for detecting and understanding -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 -disks operad over the field of real numbers. More precisely, one can consider the singular chains on as well as the singular homology of . 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 -disks operad in the little -disks operad when .

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

130

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821892126

ISBN 13

9780821892121

Formality of the Little $N$-disks Operad

By: Pascal Lambrechts, Ismar Volić

Write a review Read reviews Take a Quiz Solve Book Puzzle

Formality of the Little $N$-disks Operad

By: Pascal Lambrechts, Ismar Volić

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

130

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821892126

ISBN 13

9780821892121

Manifolds and K-theory

Conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia

By: Gregory Arone

Write a review Read reviews Take a Quiz Solve Book Puzzle

Manifolds and K-theory

Conference on Manifolds, K-theory, and Related Topics, June 23-27, 2014, Dubrovnik, Croatia

By: Gregory Arone

This volume contains the proceedings of the conference on Manifolds, K-Theory, and Related Topics, held from June 23-27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, K-theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds. This volume is a tribute to the influence of Tom Goodwillie in these fields.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

274

Published Date

ISBN 10

1470436655

ISBN 13

9781470436650

Book's by Pascal Lambrechts

Formality of the Little $N$-disks Operad

Formality of the Little $N$-disks Operad

Formality of the Little $N$-disks Operad

Formality of the Little $N$-disks Operad

Manifolds and K-theory

Manifolds and K-theory

Username

Password

Username

Password

Password again

Birthday

Email