1
<bibliography id="bibliography">
3
<biblioentry id="bib-budney-emb11">
6
<firstname>Ryan</firstname>
7
<surname>Budney</surname>
8
</author></authorgroup>
9
<title>Embeddings of 3-manifolds in
10
<replaceable>S</replaceable><superscript>4</superscript>
11
from the point of view of the 11-tetrahedron census</title>
12
<edition>Preprint</edition>
13
<issuenum>arXiv:0810.2346</issuenum>
14
<date>October 2008</date>
17
<biblioentry id="bib-burton-phd">
18
<abbrev>Bur03</abbrev>
20
<firstname>Benjamin</firstname>
21
<othername>A.</othername>
22
<surname>Burton</surname>
23
</author></authorgroup>
24
<title>Minimal triangulations and normal surfaces</title>
25
<edition>PhD Thesis</edition>
26
<publishername>University of Melbourne</publishername>
28
<publishername>Available from the ®website;</publishername>
31
<biblioentry id="bib-burton-facegraphs">
32
<abbrev>Bur04</abbrev>
34
<firstname>Benjamin</firstname>
35
<othername>A.</othername>
36
<surname>Burton</surname>
37
</author></authorgroup>
38
<title>Face pairing graphs and 3-manifold enumeration</title>
39
<edition>J. Knot Theory Ramifications</edition>
40
<volumenum>vol. 13</volumenum>
41
<issuenum>no. 8</issuenum>
42
<artpagenums>pp. 1057–1101</artpagenums>
46
<biblioentry id="bib-burton-nor10">
47
<abbrev>Bur07a</abbrev>
49
<firstname>Benjamin</firstname>
50
<othername>A.</othername>
51
<surname>Burton</surname>
52
</author></authorgroup>
53
<title>Enumeration of non-orientable 3-manifolds using face-pairing
54
graphs and union-find</title>
55
<edition>Discrete Comput. Geom.</edition>
56
<volumenum>vol. 38</volumenum>
57
<issuenum>no. 3</issuenum>
58
<artpagenums>pp. 527–571</artpagenums>
62
<biblioentry id="bib-burton-nor8">
63
<abbrev>Bur07b</abbrev>
65
<firstname>Benjamin</firstname>
66
<othername>A.</othername>
67
<surname>Burton</surname>
68
</author></authorgroup>
69
<title>Observations from the 8-tetrahedron nonorientable census</title>
70
<edition>Experiment. Math.</edition>
71
<volumenum>vol. 16</volumenum>
72
<issuenum>no. 2</issuenum>
73
<artpagenums>pp. 129–144</artpagenums>
77
<biblioentry id="bib-burton-nor7">
78
<abbrev>Bur07c</abbrev>
80
<firstname>Benjamin</firstname>
81
<othername>A.</othername>
82
<surname>Burton</surname>
83
</author></authorgroup>
84
<title>Structures of small closed non-orientable 3-manifold
85
triangulations</title>
86
<edition>J. Knot Theory Ramifications</edition>
87
<volumenum>vol. 16</volumenum>
88
<issuenum>no. 5</issuenum>
89
<artpagenums>pp. 545–574</artpagenums>
93
<biblioentry id="bib-burton-satblocks">
94
<abbrev>Bur08a</abbrev>
96
<firstname>Benjamin</firstname>
97
<othername>A.</othername>
98
<surname>Burton</surname>
99
</author></authorgroup>
100
<title>Building minimal triangulations of graph manifolds using
101
saturated blocks</title>
102
<edition>In preparation</edition>
106
<biblioentry id="bib-burton-dd">
107
<abbrev>Bur08b</abbrev>
108
<authorgroup><author>
109
<firstname>Benjamin</firstname>
110
<othername>A.</othername>
111
<surname>Burton</surname>
112
</author></authorgroup>
113
<title>Optimising the double description method for normal surface
115
<edition>To appear in Math. Comp.</edition>
116
<issuenum>arXiv:0808.4050</issuenum>
117
<date>August 2008</date>
120
<biblioentry id="bib-burton-convert">
121
<abbrev>Bur09a</abbrev>
122
<authorgroup><author>
123
<firstname>Benjamin</firstname>
124
<othername>A.</othername>
125
<surname>Burton</surname>
126
</author></authorgroup>
127
<title>Converting between quadrilateral and standard solution sets
128
in normal surface theory</title>
129
<edition>Preprint</edition>
130
<issuenum>arXiv:0901.2629</issuenum>
131
<date>January 2009</date>
134
<biblioentry id="bib-burton-quadoct">
135
<abbrev>Bur09b</abbrev>
136
<authorgroup><author>
137
<firstname>Benjamin</firstname>
138
<othername>A.</othername>
139
<surname>Burton</surname>
140
</author></authorgroup>
141
<title>Quadrilateral-octagon coordinates for almost normal surfaces</title>
142
<edition>Preprint</edition>
143
<issuenum>arXiv:0904.3041</issuenum>
144
<date>April 2009</date>
147
<biblioentry id="bib-cuspedcensus">
148
<abbrev>CHW99</abbrev>
151
<firstname>Patrick</firstname>
152
<othername>J.</othername>
153
<surname>Callahan</surname>
156
<firstname>Martin</firstname>
157
<othername>V.</othername>
158
<surname>Hildebrand</surname>
161
<firstname>Jeffrey</firstname>
162
<othername>R.</othername>
163
<surname>Weeks</surname>
166
<title>A census of cusped hyperbolic 3-manifolds</title>
167
<edition>Math. Comp.</edition>
168
<volumenum>vol. 68</volumenum>
169
<issuenum>no. 225</issuenum>
170
<artpagenums>pp. 321–332</artpagenums>
174
<biblioentry id="bib-gap">
175
<abbrev>GAP02</abbrev>
176
<corpauthor>The GAP Group</corpauthor>
177
<title>GAP — Groups, Algorithms and Programming</title>
178
<edition>Version 4.3</edition>
180
<publishername>Available from
181
<ulink url="http://www.gap-system.org/"/></publishername>
184
<biblioentry id="bib-haken-homeomorphism">
185
<abbrev>Hak62</abbrev>
186
<authorgroup><author>
187
<firstname>Wolfgang</firstname>
188
<surname>Haken</surname>
189
</author></authorgroup>
190
<title>Über das Homöomorphieproblem der
191
3-Mannigfaltigkeiten. I</title>
192
<edition>Math. Z.</edition>
193
<volumenum>vol. 80</volumenum>
194
<artpagenums>pp. 89–120</artpagenums>
198
<biblioentry id="bib-hass-knotnp">
199
<abbrev>HLP99</abbrev>
202
<firstname>Joel</firstname>
203
<surname>Hass</surname>
206
<firstname>Jeffrey</firstname>
207
<othername>C.</othername>
208
<surname>Lagarias</surname>
211
<firstname>Nicholas</firstname>
212
<surname>Pippenger</surname>
215
<title>The computational complexity of knot and link problems</title>
216
<edition>J. Assoc. Comput. Mach.</edition>
217
<volumenum>vol. 46</volumenum>
218
<issuenum>no. 2</issuenum>
219
<artpagenums>pp. 185–211</artpagenums>
223
<biblioentry id="bib-closedhypcensus">
224
<abbrev>HW94</abbrev>
227
<firstname>Craig</firstname>
228
<othername>D.</othername>
229
<surname>Hodgson</surname>
232
<firstname>Jeffrey</firstname>
233
<othername>R.</othername>
234
<surname>Weeks</surname>
237
<title>Symmetries, isometries and length spectra of
238
closed hyperbolic three-manifolds</title>
239
<edition>Experiment. Math.</edition>
240
<volumenum>vol. 3</volumenum>
241
<issuenum>no. 4</issuenum>
242
<artpagenums>pp. 261–274</artpagenums>
246
<biblioentry id="bib-0-efficiency">
247
<abbrev>JR03</abbrev>
250
<firstname>William</firstname>
251
<surname>Jaco</surname>
254
<firstname>J.</firstname>
255
<othername>Hyam</othername>
256
<surname>Rubinstein</surname>
259
<title>0-efficient triangulations of 3-manifolds</title>
260
<edition>J. Differential Geom.</edition>
261
<volumenum>vol. 65</volumenum>
262
<issuenum>no. 1</issuenum>
263
<artpagenums>pp. 61–168</artpagenums>
267
<biblioentry id="bib-layeredlensspaces">
268
<abbrev>JR06</abbrev>
271
<firstname>William</firstname>
272
<surname>Jaco</surname>
275
<firstname>J.</firstname>
276
<othername>Hyam</othername>
277
<surname>Rubinstein</surname>
280
<title>Layered-triangulations of 3-manifolds</title>
281
<edition>Preprint</edition>
282
<date>February 2006</date>
285
<biblioentry id="bib-kktorsionlinkingform">
286
<abbrev>KK80</abbrev>
289
<firstname>Akio</firstname>
290
<surname>Kawauchi</surname>
293
<firstname>Sadayoshi</firstname>
294
<surname>Kojima</surname>
297
<title>Algebraic classification of linking pairings on 3-manifolds</title>
298
<edition>Math. Ann.</edition>
299
<volumenum>vol. 253</volumenum>
300
<issuenum>no. 1</issuenum>
301
<artpagenums>pp. 29–42</artpagenums>
305
<biblioentry id="bib-lackenby-taut">
306
<abbrev>Lac00a</abbrev>
307
<authorgroup><author>
308
<firstname>Marc</firstname>
309
<surname>Lackenby</surname>
310
</author></authorgroup>
311
<title>Taut ideal triangulations of 3-manifolds</title>
312
<edition>Geom. Topol.</edition>
313
<volumenum>vol. 4</volumenum>
314
<artpagenums>pp. 369–395 (electronic)</artpagenums>
318
<biblioentry id="bib-lackenby-anglestruct">
319
<abbrev>Lac00b</abbrev>
320
<authorgroup><author>
321
<firstname>Marc</firstname>
322
<surname>Lackenby</surname>
323
</author></authorgroup>
324
<title>Word hyperbolic Dehn surgery</title>
325
<edition>Invent. Math.</edition>
326
<volumenum>vol. 140</volumenum>
327
<issuenum>no. 2</issuenum>
328
<artpagenums>pp. 243–282</artpagenums>
332
<biblioentry id="bib-italian9">
333
<abbrev>MP01</abbrev>
336
<firstname>Bruno</firstname>
337
<surname>Martelli</surname>
340
<firstname>Carlo</firstname>
341
<surname>Petronio</surname>
344
<title>Three-manifolds having complexity at most 9</title>
345
<edition>Experiment. Math.</edition>
346
<volumenum>vol. 10</volumenum>
347
<issuenum>no. 2</issuenum>
348
<artpagenums>pp. 207–236</artpagenums>
352
<biblioentry id="bib-matveev6">
353
<abbrev>Mat98</abbrev>
354
<authorgroup><author>
355
<firstname>Sergei</firstname>
356
<othername>V.</othername>
357
<surname>Matveev</surname>
358
</author></authorgroup>
359
<title>Tables of 3-manifolds up to complexity 6</title>
360
<edition>Max-Planck-Institut für Mathematik Preprint Series</edition>
361
<volumenum>vol. 67</volumenum>
363
<publishername>Available from <ulink url="http://www.mpim-bonn.mpg.de/html/preprints/preprints.html"/></publishername>
366
<biblioentry id="bib-rivin-structures">
367
<abbrev>Riv94</abbrev>
368
<authorgroup><author>
369
<firstname>Igor</firstname>
370
<surname>Rivin</surname>
371
</author></authorgroup>
372
<title>Euclidean structures on simplicial surfaces and hyperbolic
374
<edition>Ann. of Math. (2)</edition>
375
<volumenum>vol. 139</volumenum>
376
<issuenum>no. 3</issuenum>
377
<artpagenums>pp. 553–580</artpagenums>
381
<biblioentry id="bib-rivin-combopt">
382
<abbrev>Riv03</abbrev>
383
<authorgroup><author>
384
<firstname>Igor</firstname>
385
<surname>Rivin</surname>
386
</author></authorgroup>
387
<title>Combinatorial optimization in geometry</title>
388
<edition>Adv. in Appl. Math.</edition>
389
<volumenum>vol. 31</volumenum>
390
<issuenum>no. 1</issuenum>
391
<artpagenums>pp. 242–271</artpagenums>
395
<biblioentry id="bib-rubin-3sphere1">
396
<abbrev>Rub95</abbrev>
397
<authorgroup><author>
398
<firstname>J.</firstname>
399
<othername>Hyam</othername>
400
<surname>Rubinstein</surname>
401
</author></authorgroup>
402
<title>An algorithm to recognize the 3-sphere</title>
403
<edition>Proceedings of the International Congress of Mathematicians
404
(Zürich, 1994)</edition>
405
<volumenum>vol. 1</volumenum>
406
<artpagenums>pp. 601–611</artpagenums>
407
<publishername>Birkhäuser</publishername>
408
<address>Basel</address>
412
<biblioentry id="bib-rubin-3sphere2">
413
<abbrev>Rub97</abbrev>
414
<authorgroup><author>
415
<firstname>J.</firstname>
416
<othername>Hyam</othername>
417
<surname>Rubinstein</surname>
418
</author></authorgroup>
419
<title>Polyhedral minimal surfaces, Heegaard splittings and
420
decision problems for 3-dimensional manifolds</title>
421
<edition>Geometric Topology (Athens, GA, 1993)</edition>
422
<volumenum>vol. 2 of AMS/IP Stud. Adv. Math.</volumenum>
423
<artpagenums>pp. 1–20</artpagenums>
424
<publishername>Amer. Math. Soc.</publishername>
425
<address>Providence, RI</address>
429
<biblioentry id="bib-thinposition">
430
<abbrev>Tho94</abbrev>
431
<authorgroup><author>
432
<firstname>Abigail</firstname>
433
<surname>Thompson</surname>
434
</author></authorgroup>
435
<title>Thin position and the recognition problem
436
for S<superscript>3</superscript></title>
437
<edition>Math. Res. Lett.</edition>
438
<volumenum>vol. 1</volumenum>
439
<issuenum>no. 5</issuenum>
440
<artpagenums>pp. 613–630</artpagenums>
444
<biblioentry id="bib-tillus-spun">
445
<abbrev>Til08</abbrev>
446
<authorgroup><author>
447
<firstname>Stephan</firstname>
448
<surname>Tillmann</surname>
449
</author></authorgroup>
450
<title>Normal surfaces in topologically finite 3-manifolds</title>
451
<edition>Enseign. Math. (2)</edition>
452
<volumenum>vol. 54</volumenum>
453
<artpagenums>pp. 329–380</artpagenums>
457
<biblioentry id="bib-quadspace">
458
<abbrev>Tol98</abbrev>
459
<authorgroup><author>
460
<firstname>Jeffrey</firstname>
461
<othername>L.</othername>
462
<surname>Tollefson</surname>
463
</author></authorgroup>
464
<title>Normal surface <replaceable>Q</replaceable>-theory</title>
465
<edition>Pacific J. Math.</edition>
466
<volumenum>vol. 183</volumenum>
467
<issuenum>no. 2</issuenum>
468
<artpagenums>pp. 359–374</artpagenums>
472
<biblioentry id="bib-turaevviro">
473
<abbrev>TV92</abbrev>
476
<firstname>Vladimir</firstname>
477
<othername>G.</othername>
478
<surname>Turaev</surname>
481
<firstname>Oleg</firstname>
482
<othername>Y.</othername>
483
<surname>Viro</surname>
486
<title>State sum invariants of 3-manifolds and quantum
487
6<replaceable>j</replaceable>-symbols</title>
488
<edition>Topology</edition>
489
<volumenum>vol. 31</volumenum>
490
<issuenum>no. 4</issuenum>
491
<artpagenums>pp. 865–902</artpagenums>