Equivariant fiber polytopes

Documenta Mathematica

Volumn 7, Issue 1, 2002, Pages 113-132

  Reiner, Victor ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Associahedron; Cyclohedron; Equivariant; Fiber polytope

Indexed keywords

EID: 0037609150     PISSN: 14310635     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. L.J. Billera and B. Sturmfels, Fiber polytopes, Ann. of Math. 135 (1992), 527-549.
2. L.J. Billera and B. Sturmfels, Iterated fiber polytopes, Mathematika, 41 (1994), 348-363.
3. A. Björner and M. Wachs, Shellable nonpure complexes and posets, II, Trans. Amer. Math. Soc. 349 (1997), 3945-3975.
4. R. Bott, C. Taubes, On the self-linking of knots, Topology and physics J. Math. Phys. 35 (1994), 5247-5287.
5. F. Chapoton, S.V. Fomin and A.V. Zelevinsky, Polytopal realizations of generalized associahedra, preprint 2002, Los Alamos archive math.CO/0202004.
6. S. Devadoss, A space of cyclohedra, preprint 2001.
7. S.V. Fomin and A.V. Zelevinsky, Y-systems and generalized associahedra, preprint 2002, Los Alamos archive hep-th/0111053.
8. I.M. Gelfand, M.M. Kapranov, and A.V. Zelevinsky, Discriminants, resultants, and multidimensional determinants, Mathematics: Theory & Applications. Birkhäuser Boston, Inc., Boston, MA, 1994.
9. H.A. Jorge, Smith-type inequalities for a polytope with a solvable group of symmetries, Adv. Math. 152 (2000), 134-158.
10. M.M. Kapranov and M. Saito, Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions, Higher homotopy structures in topology and mathematical physics (Poughkeepsie, NY, 1996), 191-225, Contemp. Math. 227, Amer. Math. Soc., Providence, RI, 1999.
11. M.M. Kapranov, B. Sturmfels, and A.V. Zelevinsky, Quotients of toric varieties, Math. Ann. 290 (1991), 643-655.
12. C.W. Lee, The associahedron and triangulations of the n-gon. European J. Combin. 10 (1989), 551-560.
13. M. Markl, Martin, Simplex, associahedron, and cyclohedron, in "Higher homotopy structures in topology and mathematical physics" (Poughkeepsie, NY, 1996) Contemp. Math. 227, 235-265 Amer. Math. Soc., Providence, RI, 1999.
14. V. Reiner and G.M. Ziegler, Coxeter-associahedra, Mathematika 41 (1994), 364-393.
15. N. Sandman, Honors Senior Thesis, George Washington University, 2000.
16. R. Simion, A type B associahedron, Adv. Applied Math., to appear.
17. R.P. Stanley, Enumerative combinatorics, Vol. 1, Cambridge Studies in Advanced Mathematics 49. Cambridge University Press, Cambridge, 1997
18. A. Tonks, Relating the associahedron and the permutohedron. "Operads: Proceedings of Renaissance Conferences" (Hartford, CT/Luminy, 1995), 33-36, Contemp. Math. 202, Amer. Math. Soc., Providence, RI, 1997.