A cell decomposition of the Fulton MacPherson operad
نویسندگان
چکیده
We construct a small regular cellular decomposition of the Fulton MacPherson operad F M 2 $FM_2$ that is compatible with composition. The cells are indexed by trees edges two colors and vertices labeled cacti operad. compute generating functions counting algebraic.
منابع مشابه
The Chow Ring of Relative Fulton–macpherson Space
Suppose that X is a nonsingular variety and D is a nonsingular proper subvariety. Configuration spaces of distinct and non-distinct n points in X away from D were constructed by the author and B. Kim in [4] by using the method of wonderful compactification. In this paper, we give an explicit presentation of Chow motives and Chow rings of these configuration spaces.
متن کاملChow Motive of Fulton-macpherson Configuration Spaces and Wonderful Compactifications
The purpose of this article is to study the Chow groups and Chow motives of the so-called wonderful compactifications of an arrangement of subvarieties, in particular the Fulton-MacPherson configuration spaces. All the varieties in the paper are over an algebraically closed field. Let Y be a nonsingular quasi-projective variety. Let S be an arrangement of subvarieties of Y (cf. Definition 2.2)....
متن کامل8 Fulton - MacPherson compactification , cyclohedra , and the polygonal pegs problem
The cyclohedron Wn, known also as the Bott-Taubes polytope, arises both as the polyhedral realization of the poset of all cyclic bracketings of the word x1x2 . . . xn and as an essential part of the Fulton-MacPherson compactification of the configuration space of n distinct, labelled points on the circle S1. The “polygonal pegs problem” asks whether every simple, closed curve in the plane or in...
متن کامل1 1 N ov 2 00 8 Fulton - MacPherson compactification , cyclohedra , and the polygonal pegs problem
The cyclohedron Wn, known also as the Bott-Taubes polytope, arises both as the polyhedral realization of the poset of all cyclic bracketings of the word x1x2 . . . xn and as an essential part of the Fulton-MacPherson compactification of the configuration space of n distinct, labelled points on the circle S1. The “polygonal pegs problem” asks whether every simple, closed curve in the plane or in...
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2022
ISSN: ['1753-8424', '1753-8416']
DOI: https://doi.org/10.1112/topo.12224