New York Journal of Mathematics
Volume 4 (1998) 83-95

  

H. Burgiel and V. Reiner

Two Signed Associahedra


Published: August 2, 1998
Keywords: associahedron, Coxeter groups, convex polytope, triangulation
Subject: Primary, 52B12, 20F55

Abstract
The associahedron is a convex polytope whose vertices correspond to triangulations of a convex polygon. We define two signed or hyperoctahedral analogues of the associahedron, one of which is shown to be a simple convex polytope, and the other a regular CW-sphere.

Acknowledgements

First author's research supported by a Postdoctoral fellowship at The Geometry Center at the University of Minnesota. Second author's research supported by a Sloan Foundation Fellowship and a University of Minnesota McKnight-Land Grant Fellowship.


Author information

H. Burgiel:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 South Morgan St. (M/C 249), Chicago, IL 60607-7045
burgiel@math.uic.edu
http://math.uic.edu/~burgiel

V. Reiner:
University of Minnesota School of Mathematics, Minneapolis, MN 55455
reiner@math.umn.edu
http://www.math.umn.edu/~reiner