메뉴 건너뛰기




Volumn 3, Issue 4, 2010, Pages 997-1025

Random heegaard splittings

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84055192621     PISSN: 17538416     EISSN: 17538424     Source Type: Journal    
DOI: 10.1112/jtopol/jtq031     Document Type: Article
Times cited : (47)

References (23)
  • 3
    • 33750510901 scopus 로고    scopus 로고
    • Finite covers of random 3-manifolds
    • N. M. Dunfield and W. P. Thurston, 'Finite covers of random 3-manifolds', Invent. Math. 166 (2006) 457-521.
    • (2006) Invent. Math. , vol.166 , pp. 457-521
    • Dunfield, N.M.1    Thurston, W.P.2
  • 4
    • 58849157017 scopus 로고    scopus 로고
    • Train tracks and the Gromov boundary of the complex of curves, Spaces of Kleinian groups
    • Cambridge University Press, Cambridge
    • U. Hamenstädt, 'Train tracks and the Gromov boundary of the complex of curves', Spaces of Kleinian groups, London Mathematical Society Lecture Note Series 329 (Cambridge University Press, Cambridge, 2006) 187-207.
    • (2006) London Mathematical Society Lecture Note Series , vol.329 , pp. 187-207
    • Hamenstädt, U.1
  • 5
    • 0036347429 scopus 로고    scopus 로고
    • Heegaard splittings of Haken manifolds have bounded distance
    • K. Hartshorn, 'Heegaard splittings of Haken manifolds have bounded distance', Pacific J. Math. 204 (2002) 61-75.
    • (2002) Pacific J. Math. , vol.204 , pp. 61-75
    • Hartshorn, K.1
  • 6
    • 0035343955 scopus 로고    scopus 로고
    • 3-manifolds as viewed from the curve complex
    • J. Hempel, '3-manifolds as viewed from the curve complex', Topology 40 (2001) 631-657.
    • (2001) Topology , vol.40 , pp. 631-657
    • Hempel, J.1
  • 7
    • 1542640314 scopus 로고    scopus 로고
    • Subgroups of Teichmüller modular groups
    • American Mathematical Society, Providence, RI, 1992). Translated from the Russian by E. J. F. Primrose and revised by the author
    • N. V. Ivanov, Subgroups of Teichmüller modular groups, Translations of Mathematical Monographs 115 (American Mathematical Society, Providence, RI, 1992). Translated from the Russian by E. J. F. Primrose and revised by the author.
    • Translations of Mathematical Monographs , vol.115
    • Ivanov, N.V.1
  • 8
    • 0030555584 scopus 로고    scopus 로고
    • The Poisson boundary of the mapping class group
    • V. A. Kaimanovich and H. Masur, 'The Poisson boundary of the mapping class group', Invent. Math. 125 (1996) 221-264.
    • (1996) Invent. Math. , vol.125 , pp. 221-264
    • Kaimanovich, V.A.1    Masur, H.2
  • 9
    • 38249019947 scopus 로고
    • The measure of the limit set of the handlebody group
    • S. P. Kerckhoff, 'The measure of the limit set of the handlebody group', Topology 29 (1990) 27-40.
    • (1990) Topology , vol.29 , pp. 27-40
    • Kerckhoff, S.P.1
  • 10
    • 0009200673 scopus 로고    scopus 로고
    • The boundary at infinity of the curve complex and the relative teichmüller space
    • E. Klarreich, 'The boundary at infinity of the curve complex and the relative teichmüller space', 1999, http://www.msri.org/people/members/klarreic/curvecomplex.ps.
    • (1999)
    • Klarreich, E.1
  • 11
    • 84972567758 scopus 로고
    • Casson-Gordon's rectangle condition of Heegaard diagrams and incompressible tori in 3-manifolds
    • T. Kobayashi, 'Casson-Gordon's rectangle condition of Heegaard diagrams and incompressible tori in 3-manifolds', Osaka J. Math. 25 (1988) 553-573.
    • (1988) Osaka J. Math. , vol.25 , pp. 553-573
    • Kobayashi, T.1
  • 12
    • 84055204793 scopus 로고    scopus 로고
    • Are large distance Heegaard splittings generic?
    • Preprint, arXiv:1002. 4292
    • M. Lustig and Y. Moriah, 'Are large distance Heegaard splittings generic?', Preprint, 2010, arXiv:1002.4292.
    • (2010)
    • Lustig, M.1    Moriah, Y.2
  • 13
    • 33750520980 scopus 로고    scopus 로고
    • Random walks on the mapping class group
    • Preprint, arXiv:math. GT/0604433
    • J. Maher, 'Random walks on the mapping class group', Preprint, 2006, arXiv:math.GT/0604433.
    • (2006)
    • Maher, J.1
  • 14
    • 77951631875 scopus 로고    scopus 로고
    • Linear progress in the complex of curves
    • J. Maher, 'Linear progress in the complex of curves', Trans. Amer. Math. Soc. 362 (2010) 2963-2991.
    • (2010) Trans. Amer. Math. Soc. , vol.362 , pp. 2963-2991
    • Maher, J.1
  • 15
    • 0033473346 scopus 로고    scopus 로고
    • Geometry of the complex of curves. I. Hyperbolicity
    • H. A. Masur and Y. N. Minsky, 'Geometry of the complex of curves. I. Hyperbolicity', Invent. Math. 138 (1999) 103-149.
    • (1999) Invent. Math. , vol.138 , pp. 103-149
    • Masur, H.A.1    Minsky, Y.N.2
  • 16
    • 0034369294 scopus 로고    scopus 로고
    • Geometry of the complex of curves. II. Hierarchical structure
    • H. A. Masur and Y. N. Minsky, 'Geometry of the complex of curves. II. Hierarchical structure', Geom. Funct. Anal. 10 (2000) 902-974.
    • (2000) Geom. Funct. Anal. , vol.10 , pp. 902-974
    • Masur, H.A.1    Minsky, Y.N.2
  • 17
    • 34547929405 scopus 로고    scopus 로고
    • Quasiconvexity in the curve complex
    • Contemporary Mathematics 355, American Mathematical Society, Providence, RI
    • H. A. Masur and Y. N. Minsky, 'Quasiconvexity in the curve complex', In the tradition of Ahlfors and Bers, III, Contemporary Mathematics 355 (American Mathematical Society, Providence, RI, 2004) 309-320.
    • (2004) In the tradition of Ahlfors and Bers, III , pp. 309-320
    • Masur, H.A.1    Minsky, Y.N.2
  • 18
    • 0003362027 scopus 로고
    • Combinatorics of train tracks
    • Princeton University Press, Princeton, NJ
    • R. C. Penner and J. L. Harer, Combinatorics of train tracks, Annals of Mathematics Studies 125 (Princeton University Press, Princeton, NJ, 1992).
    • (1992) Annals of Mathematics Studies , vol.125
    • Penner, R.C.1    Harer, J.L.2
  • 19
    • 0142166290 scopus 로고    scopus 로고
    • The entropy formula for the Ricci flow and its geometric applications
    • Preprint, arXiv:math/0211159
    • G. Perelman, 'The entropy formula for the Ricci flow and its geometric applications', Preprint, 2002, arXiv:math/0211159.
    • (2002)
    • Perelman, G.1
  • 20
    • 1142299944 scopus 로고    scopus 로고
    • Ricci flow with surgery on three- manifolds
    • Preprint, arXiv:math/0303109
    • G. Perelman, 'Ricci flow with surgery on three-manifolds', Preprint, 2003, arXiv:math/0303109.
    • (2003)
    • Perelman, G.1
  • 21
    • 33646423548 scopus 로고    scopus 로고
    • Alternate Heegaard genus bounds distance
    • (electronic)
    • M. Scharlemann and M. Tomova, 'Alternate Heegaard genus bounds distance', Geom. Topol. 10 (2006) 593-617 (electronic).
    • (2006) Geom. Topol. , vol.10 , pp. 593-617
    • Scharlemann, M.1    Tomova, M.2
  • 22
    • 84966239529 scopus 로고
    • Three-dimensional manifolds, Kleinian groups and hyperbolic geometry
    • W. P. Thurston, 'Three-dimensional manifolds, Kleinian groups and hyperbolic geometry', Bull. Amer. Math. Soc. (N.S.) 6 (1982) 357-381.
    • (1982) Bull. Amer. Math. Soc. (N.S.) , vol.6 , pp. 357-381
    • Thurston, W.P.1
  • 23
    • 0005282985 scopus 로고    scopus 로고
    • Random walks on infinite graphs and groups
    • Cambridge University Press, Cambridge
    • W. Woess, Random walks on infinite graphs and groups, Cambridge Tracts in Mathematics 138 (Cambridge University Press, Cambridge, 2000).
    • (2000) Cambridge Tracts in Mathematics , vol.138
    • Woess, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.