Library of Triangulations
by
Bruno Benedetti
and
Frank H. Lutz
For a detailed description of the library examples and additional references see:
Bruno Benedetti
and
Frank H. Lutz
.
Random Discrete Morse Theory and a New Library of Triangulations
. Exp. Math.
23
, 66-94 (2014).
GAP-program to search for discrete Morse vectors with few critical cells:
Frank H. Lutz
.
DiscreteMorse
(Version May/2015).
Examples:
dunce_hat
d2n12g6
regular_2_21_23_1
rand2_n25_p0.328
dunce_hat_in_3_ball
Barnette_sphere
B_3_9_18
trefoil_arc
trefoil
rudin
poincare
double_trefoil
triple_trefoil_arc
triple_trefoil
hyperbolic_dodecahedral_space
S_3_50_1033
S_3_100_4850
600_cell
non_4_2_colorable
Hom_C5_K4
trefoil_bsd
knot
nc_sphere
double_trefoil_bsd
bing
triple_trefoil_bsd
S_3_1000_2990
Hom_n9_655_compl_K4
CP2
RP4
K3_16
K3_17
RP4#K3_17
RP4#11S2xS2
Hom_C6_compl_K5_small
Hom_C6_compl_K5
SU2_SO3
non_PL
RP5_24
S2xpoincare
S_5_100_472
Hom_C5_K5
_HP2
contractible_vertex-homogeneous
Additional examples:
Karim A. Adiprasito
,
Bruno Benedetti
, and
Frank H. Lutz
.
Extremal examples of collapsible complexes and random discrete Morse theory
. Discrete Comput. Geom.
57
, 824-853 (2017).
two_optima
contractible_non_5_ball
contractible_non_5_ball_boundary
Frank H. Lutz
and
Jesper M. Møller
.
Chromatic numbers of simplicial manifolds
. Beitr. Algebra Geom.
61
, 419-453 (2020).
non_4_2_colorable (see above)
PG64_n20167_o1_g620
AG_5_3_n29647_o1_g9680
PG128_PG128P7
Bruno Benedetti
, Crystal Lai,
Davide Lofano
, and
Frank H. Lutz
.
Random simple-homotopy theory
. Preprint, 22 pages, 2021; arXiv:2107.09862.
Abalone
BH
BH_k.cc
(C++ program by Davide Lofano to generate Bing's house BH(k) with k rooms)
BH_3
BH_4
BH_5
d2_n8_3torsion
d2_n8_4torsion
d2_n9_5torsion
Davide Lofano
, and
Frank H. Lutz
.
Hadamard Matrix Torsion
. Preprint, 14 pages, 2021; arXiv:2109.13052.
HMT.py
(python program by Davide Lofano to generate Hadamard matrix torsion examples)
HMT_4
HMT_8
HMT_16
HMT_32
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Last modified: Sat Oct 30 14:20:47 CEST 2021