论文信息 - Combinatorial equivalence of real moduli spaces

Combinatorial equivalence of real moduli spaces

A well-known construction of associahedra comes from truncations of simplices. Motivated by compactifications of point configurations, we show associahedra as truncations of certain products of simplices. This is then used to provide a combinatorial construction of the real moduli space of spheres relating it to blow-ups of the braid hyperplane arrangement.

Satyan L. Devadoss

[1] Jim Stasheff,et al. Homotopy associativity of $H$-spaces. II , 1963 .

[2] M. Kapranov,et al. Chow quotients of Grassmannian I , 1992 .

[3] Mikhail Kapranov,et al. The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation , 1993 .

[4] Thomas H. Parker,et al. Pseudo-holomorphic maps and bubble trees , 1993 .

[5] W. Fulton,et al. A compactification of configuration spaces , 1994 .

[6] A. Voronov,et al. On operad structures of moduli spaces and string theory , 1993, hep-th/9307114.

[7] C. Procesi,et al. Wonderful models of subspace arrangements , 1995 .

[8] Bruna Tanaka Cremonini,et al. Buildings , 1995, Data, Statistics, and Useful Numbers for Environmental Sustainability.

[9] Satyan L. Devadoss. Tessellations of Moduli Spaces and the Mosaic Operad , 1998, math/9807010.

[10] T. Januszkiewicz,et al. Nonpositive curvature of blowups , 1999 .

[11] A. Goncharov,et al. Multiple ζ -motives and moduli spaces M 0 ,n , 2002 .

[12] Satyan L. Devadoss,et al. Coxeter Complexes and Graph-Associahedra , 2004, math/0407229.