nLab
framed little n-disk operad

Contents

Idea

The framed little nndisk operad is an operad in chain complexes that whose nn-ary operations come from embedding nn-dimensional disks in a larger one and rotating them. It is joint generalization of the little k-cubes operad and the framed little 2-disk operad.

Properties

Theorem

The shifted rational singular homology H +d(SX,)H_{\bullet + d}(S X, \mathbb{Q}) of the nn-sphere space SX=X S nS X = X^{S^n} of an oriented manifold XX of dimension dd naturally has the structure of a n-BV-algebra.

This appears as (CohenVoronov, theorem 5.3.3).

References

Section 5.3 of

Created on November 26, 2010 16:47:52 by Urs Schreiber (131.211.36.78)