Volume 12, issue 4 (2012)

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Morse matchings on polytopes

R M Green and Jacob T Harper

Algebraic & Geometric Topology 12 (2012) 2429–2450
Bibliography
1 K Adiprasito, B Benedetti, Metric geometry and collapsibility (2011) arXiv:1107.5789
2 H Barcelo, S Smith, The discrete fundamental group of the order complex of Bn, J. Algebraic Combin. 27 (2008) 399 MR2393249
3 A Björner, Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries, from: "Building bridges" (editors M Grötschel, G O H Katona), Bolyai Soc. Math. Stud. 19, Springer (2008) 165 MR2484640
4 A Björner, V Welker, The homology of “k–equal” manifolds and related partition lattices, Adv. Math. 110 (1995) 277 MR1317619
5 H Bruggesser, P Mani, Shellable decompositions of cells and spheres, Math. Scand. 29 (1971) 197 MR0328944
6 W A Casselman, Geometric rationality of Satake compactifications, from: "Algebraic groups and Lie groups" (editor G I Lehrer), Austral. Math. Soc. Lect. Ser. 9, Cambridge Univ. Press (1997) 81 MR1635676
7 M K Chari, On discrete Morse functions and combinatorial decompositions, Discrete Math. 217 (2000) 101 MR1766262
8 R Forman, Morse theory for cell complexes, Adv. Math. 134 (1998) 90 MR1612391
9 R Forman, A user’s guide to discrete Morse theory, from: "Séminaire Lotharingien de Combinatoire" (2002)
10 R Geoghegan, Topological methods in group theory, 243, Springer (2008) MR2365352
11 R M Green, Homology representations arising from the half cube, Adv. Math. 222 (2009) 216 MR2531372
12 R M Green, Homology representations arising from the half cube, II, J. Combin. Theory Ser. A 117 (2010) 1037 MR2677672
13 J T Harper, Homology representations arising from a hypersimplex, PhD thesis, University of Colorado (2011) MR2926803
14 G Kalai, Polytope skeletons and paths, from: "Handbook of discrete and computational geometry" (editors J E Goodman, J O’Rourke), CRC (1997) 331 MR1730173
15 J R Munkres, Elements of algebraic topology, Addison-Wesley Publishing Company (1984) MR755006
16 J J Rotman, An introduction to algebraic topology, 119, Springer (1988) MR957919
17 M Shattuck, T Waldhauser, Proofs of some binomial identities using the method of last squares, Fibonacci Quart. 48 (2010) 290 MR2766775
18 N J A Sloane, The on-line encyclopedia of integer sequences
19 G M Ziegler, Lectures on polytopes, 152, Springer (1995) MR1311028