English

Cellular Structures determined by Polygons and Trees

Combinatorics 2007-05-23 v1 Algebraic Topology Quantum Algebra

Abstract

The polytope structure of the associahedron is decomposed into two categories, types and classes. The classification of types is related to integer partitions, whereas the classes present a new combinatorial problem. We solve this and incorporate the results into properties of the real moduli space of Riemann spheres. Connections are discussed with relation to classic combinatorial problems as well as to other sciences.

Keywords

Cite

@article{arxiv.math/0008145,
  title  = {Cellular Structures determined by Polygons and Trees},
  author = {Satyan L. Devadoss and Ronald C. Read},
  journal= {arXiv preprint arXiv:math/0008145},
  year   = {2007}
}

Comments

25 pages, 21 figures, LaTex