Knots, operads, and double loop spaces
نویسندگان
چکیده
منابع مشابه
Knots, Operads and Double Loop Spaces
We show that the space of long knots in an euclidean space of dimension larger than three is a double loop space, proving a conjecture by Sinha. We also construct a double loop space structure on framed long knots, and show that the map forgetting the framing is not a double loop map in odd dimension. However there is always such a map in the reverse direction expressing the double loop space o...
متن کاملLong Knots and Maps between Operads
We identify the space of tangentially straightened long knots in R, m ≥ 4, as the double loops on the space of derived operad maps from the associative operad into a version of the little m-disk operad. This verifies a conjecture of Kontsevich, Lambrechts, and Turchin.
متن کاملOperads and Knot Spaces
Let Em denote the space of embeddings of the interval I = [−1, 1] in the cube I with endpoints and tangent vectors at those endpoints fixed on opposite faces of the cube, equipped with an isotopy through immersions to the unknot – see Definition 5.1. By Proposition 5.17, Em is homotopy equivalent to Emb(I, I) × Imm(I, I). In [26], McClure and Smith define a cosimplicial object O• associated to ...
متن کاملModuli Spaces and Formal Operads
Let M g,l be the moduli space of stable algebraic curves of genus g with l marked points. With the operations which relate the different moduli spaces identifying marked points, the family (M g,l) g,l is a modular operad of projective smooth Deligne-Mumford stacks, M. In this paper we prove that the modular operad of singular chains C * (M; Q) is formal; so it is weakly equivalent to the modula...
متن کاملModuli Spaces and Formal Operads
Let Mg,l be the moduli space of stable algebraic curves of genus g with l marked points. With the operations that relate the different moduli spaces identifying marked points, the family (Mg,l)g,l is a modular operad of projective smooth Deligne-Mumford stacksM. In this paper, we prove that the modular operad of singular chains S∗(M;Q) is formal, so it is weakly equivalent to the modular operad...
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: International Mathematics Research Notices
سال: 2006
ISSN: 1073-7928,1687-0247
DOI: 10.1155/imrn/2006/13628