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Volumn 13, Issue 3, 2004, Pages 267-272

Introducing regina, the 3-manifold topology software

Author keywords

Angle structure; Census; Normal surface; Software; Triangulation

Indexed keywords


EID: 13244292364     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2004.10504538     Document Type: Article
Times cited : (32)

References (27)
  • 2
    • 13244292838 scopus 로고    scopus 로고
    • PhD diss., University of Melbourne, Available from World Wide Web
    • Benjamin A. Burton. “Minimal Tftangulations and Normal Surfaces.” PhD diss., University of Melbourne, 2003. Available from World Wide Web (http://regina.sourceforge.net/).
    • (2003) Minimal Tftangulations and Normal Surfaces
    • Burton, B.A.1
  • 4
    • 85023940633 scopus 로고    scopus 로고
    • Triangulations of 3-Manifolds III: Taut Structures in Low-Census Manifolds
    • Benjamin A. Burton, Ensil Kang, and J. Hyam Rubinstein. “Triangulations of 3-Manifolds III: Taut Structures in Low-Census Manifolds.” In preparation, 2003.
    • (2003) Preparation
    • Burton, B.A.1    Kang, E.2    Hyam Rubinstein, J.3
  • 5
    • 0033479782 scopus 로고    scopus 로고
    • A Census of Cusped Hyperbolic 3-Manifolds
    • Patrick J. Callahan, Martin V. Hildebrand, and Jeffrey R. Weeks. “A Census of Cusped Hyperbolic 3-Manifolds.” Math. Comp. 68: 225 (1999), 321-332.
    • (1999) Math. Comp. , vol.68 , Issue.225 , pp. 321-332
    • Callahan, P.J.1    Martin, V.2    Weeks, J.R.3
  • 6
    • 51249193257 scopus 로고
    • Theorie der Normalflachen
    • Wolfgang Haken. “Theorie der Normalflachen.” Acta Math. 105 (1961), 245-375.
    • (1961) Acta Math , vol.105 , pp. 245-375
    • Haken, W.1
  • 7
    • 0013285632 scopus 로고
    • Über das Homöomorphie- problem der 3-Mannigfaltigkeiten. I
    • Wolfgang Haken. “Über das Homöomorphie- problem der 3-Mannigfaltigkeiten. I.” Math. Z. 80 (1962), 89-120.
    • (1962) Math. Z. , vol.80 , pp. 89-120
    • Haken, W.1
  • 10
    • 33749200386 scopus 로고
    • An Algorithm to Decide If a 3-Manifold is a Haken Manifold
    • William Jaco and Ulrich Oertel. “An Algorithm to Decide If a 3-Manifold is a Haken Manifold.” Topology 23: 2 (1984), 195-209.
    • (1984) Topology , vol.23 , Issue.2 , pp. 195-209
    • Jaco, W.1    Oertel, U.2
  • 14
    • 84972580913 scopus 로고
    • Algorithms for the Complete Decomposition of a Closed 3-Manifold
    • William Jaco and Jeffrey L. Tollefson. “Algorithms for the Complete Decomposition of a Closed 3-Manifold.” Illinois J. Math. 39: 3 (1995), 358-406.
    • (1995) Illinois J. Math , vol.39 , Issue.3 , pp. 358-406
    • Jaco, W.1    Tollefson, J.L.2
  • 15
    • 0001543272 scopus 로고
    • Geschlossene Flachen in drei- dimensionalen Mannigfaltigkeiten
    • Hellmuth Kneser. “Geschlossene Flachen in drei- dimensionalen Mannigfaltigkeiten.” Jahresbericht der Deut. Math. Verein. 38 (1929), 248-260.
    • (1929) Jahresbericht Der Deut. Math. Verein. , vol.38 , pp. 248-260
    • Kneser, H.1
  • 16
    • 0001193012 scopus 로고    scopus 로고
    • Taut Ideal Triangulations of 3-Manifolds
    • electronic
    • Marc Lackenby. “Taut Ideal Triangulations of 3-Manifolds.” Geom. Topol. 4 (2000), 369-395 (electronic).
    • (2000) Geom. Topol , vol.4 , pp. 369-395
    • Lackenby, M.1
  • 17
    • 0034348995 scopus 로고    scopus 로고
    • Word Hyperbolic Dehn Surgery
    • Marc Lackenby. “Word Hyperbolic Dehn Surgery.” Invent. Math. 140: 2 (2000), 243-282.
    • (2000) Invent. Math. , vol.140 , Issue.2 , pp. 243-282
    • Lackenby, M.1
  • 18
    • 0035631147 scopus 로고    scopus 로고
    • Three-Manifolds Having Complexity at Most 9
    • Bruno Martelli and Carlo Petronio. “Three-Manifolds Having Complexity at Most 9.” Experiment. Math. 10: 2 (2001), 207-236.
    • (2001) Experiment. Math. , vol.10 , Issue.2 , pp. 207-236
    • Martelli, B.1    Petronio, C.2
  • 19
    • 0010138366 scopus 로고    scopus 로고
    • Tables of 3-Manifolds up to Complexity 6
    • Sergei V. Matveev. “Tables of 3-Manifolds up to Complexity 6.” Max-Planck-Institut für Mathematik Preprint Series 67 (1998). Available from World Wide Web (http://www.mpim-bonn.mpg.de/html/preprints/ preprints.html).
    • (1998) Max-Planck-Institut für Mathematik Preprint Series , vol.67
    • Matveev, S.V.1
  • 20
    • 0001684677 scopus 로고
    • Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume
    • Igor Rivin. “Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume.” Ann. of Math. (2) 139: 3 (1994), 553-580.
    • (1994) Ann. Of Math. (2) , vol.139 , Issue.3 , pp. 553-580
    • Rivin, I.1
  • 21
    • 0038793288 scopus 로고    scopus 로고
    • Combinatorial Optimization in Geometry
    • Igor Rivin. “Combinatorial Optimization in Geometry.” Adv. in Appl. Math. 31: 1 (2003), 242-271.
    • (2003) Adv. In Appl. Math. , vol.31 , Issue.1 , pp. 242-271
    • Rivin, I.1
  • 23
    • 0013204374 scopus 로고    scopus 로고
    • Polyhedral Minimal Surfaces, Heegaard Splittings and Decision Problems for 3-Dimensional Manifolds
    • (Athens, GA, 1993), AMS/IP Stud. Adv. Math, Providence, RI: Amer. Math. Soc
    • J. Hyam Rubinstein. “Polyhedral Minimal Surfaces, Heegaard Splittings and Decision Problems for 3-Dimensional Manifolds.” In Geometric Topology (Athens, GA, 1993), AMS/IP Stud. Adv. Math., Vol. 2, pp. 1-20. Providence, RI: Amer. Math. Soc., 1997.
    • (1997) Geometric Topology , vol.2 , pp. 1-20
    • Hyam Rubinstein, J.1
  • 25
    • 0000076193 scopus 로고    scopus 로고
    • Normal Surface Q- Theory
    • Jeffrey L. Tollefson. “Normal Surface Q- Theory.” Pacific J. Math. 183: 2 (1998), 359-374.
    • (1998) Pacific J. Math. , vol.183 , Issue.2 , pp. 359-374
    • Tollefson, J.L.1
  • 26
    • 44049114062 scopus 로고
    • State Sum Invariants of 3-Manifolds and Quantum 3- Symbols
    • Vladimir G. Turaev and Oleg Y. Viro. “State Sum Invariants of 3-Manifolds and Quantum 3- Symbols.” Topology 31: 4 (1992), 865-902.
    • (1992) Topology , vol.31 , Issue.4 , pp. 865-902
    • Turaev, V.G.1    Viro, O.Y.2
  • 27
    • 85023900737 scopus 로고
    • SnapPea: Hyperbolic 3- Manifold Software
    • Jeffrey R. Weeks. “SnapPea: Hyperbolic 3- Manifold Software.” Available from World Wide Web (http://www.northnet.org/weeks/index/SnapPea.html), 1991-2000.
    • (1991)
    • Weeks, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.