Curve complex (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Curve complex" in English language version.

refsWebsite

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11doi.org

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11semanticscholar.org

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10arxiv.org

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7ams.org

451^st place

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3harvard.edu

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3worldcat.org

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2princeton.edu

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1warwick.ac.uk

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2,689^th place

ams.org

mathscinet.ams.org

Bowditch 2006. Bowditch, Brian H. (2006). "Intersection numbers and the hyperbolicity of the curve complex". J. Reine Angew. Math. 598: 105–129. MR 2270568.
Masur & Minsky 1999. Masur, Howard A.; Minsky, Yair N. (1999). "Geometry of the complex of curves. I. Hyperbolicity". Invent. Math. 138 (1): 103–149. arXiv:math/9804098. Bibcode:1999InMat.138..103M. doi:10.1007/s002220050343. MR 1714338. S2CID 16199015.
Aougab, Tarik (2013). "Uniform hyperbolicity of the graphs of curves". Geom. Topol. 17 (5): 2855–2875. arXiv:1212.3160. doi:10.2140/gt.2013.17.2855. MR 3190300. S2CID 55100877.
Manganas, Johanna (2010). "Uniform uniform exponential growth of subgroups of the mapping class group". Geom. Funct. Anal. 19 (5): 1468–1480. arXiv:0805.0133. doi:10.1007/s00039-009-0038-y. MR 2585580. S2CID 15662174.
Hempel 2001. Hempel, John (2001). "3-manifolds as viewed from the curve complex". Topology. 40 (3): 631–657. arXiv:math/9712220. doi:10.1016/s0040-9383(00)00033-1. MR 1838999. S2CID 16532184.
Abrams, Aaron; Schleimer, Saul (2005). "Distances of Heegaard splittings". Geom. Topol. 9: 95–119. arXiv:math/0306071. doi:10.2140/gt.2005.9.95. MR 2115669. S2CID 8546698.
Dunfield, Nathan M.; Thurston, William P. (2006). "Finite covers of random 3-manifolds". Invent. Math. 166 (3): 457–521. arXiv:math/0502567. Bibcode:2006InMat.166..457D. doi:10.1007/s00222-006-0001-6. MR 2257389. S2CID 14446676.

arxiv.org

Masur & Minsky 1999. Masur, Howard A.; Minsky, Yair N. (1999). "Geometry of the complex of curves. I. Hyperbolicity". Invent. Math. 138 (1): 103–149. arXiv:math/9804098. Bibcode:1999InMat.138..103M. doi:10.1007/s002220050343. MR 1714338. S2CID 16199015.
Aougab, Tarik (2013). "Uniform hyperbolicity of the graphs of curves". Geom. Topol. 17 (5): 2855–2875. arXiv:1212.3160. doi:10.2140/gt.2013.17.2855. MR 3190300. S2CID 55100877.
Manganas, Johanna (2010). "Uniform uniform exponential growth of subgroups of the mapping class group". Geom. Funct. Anal. 19 (5): 1468–1480. arXiv:0805.0133. doi:10.1007/s00039-009-0038-y. MR 2585580. S2CID 15662174.
Dahmani, François; Guirardel, Vincent; Osin, Denis (2017). "Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces". Memoirs of the American Mathematical Society. 245 (1156). arXiv:1111.7048. doi:10.1090/memo/1156. S2CID 119137328.
Hempel 2001. Hempel, John (2001). "3-manifolds as viewed from the curve complex". Topology. 40 (3): 631–657. arXiv:math/9712220. doi:10.1016/s0040-9383(00)00033-1. MR 1838999. S2CID 16532184.
Abrams, Aaron; Schleimer, Saul (2005). "Distances of Heegaard splittings". Geom. Topol. 9: 95–119. arXiv:math/0306071. doi:10.2140/gt.2005.9.95. MR 2115669. S2CID 8546698.
Minsky, Yair (2010). "The classification of Kleinian surface groups, I: models and bounds". Annals of Mathematics. 171 (1): 1–107. arXiv:math/0302208. doi:10.4007/annals.2010.171.1. ISSN 0003-486X. S2CID 115634421.
Brock, Jeffrey; Canary, Richard; Minsky, Yair (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (3): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1. ISSN 0003-486X. S2CID 119719908.
Dunfield, Nathan M.; Thurston, William P. (2006). "Finite covers of random 3-manifolds". Invent. Math. 166 (3): 457–521. arXiv:math/0502567. Bibcode:2006InMat.166..457D. doi:10.1007/s00222-006-0001-6. MR 2257389. S2CID 14446676.
Maher, Joseph (2010). "Random Heegaard splittings". Journal of Topology. 3 (4): 997–1025. arXiv:0809.4881. doi:10.1112/jtopol/jtq031. S2CID 14179122.

doi.org

Harer, John L. (1986-02-01). "The virtual cohomological dimension of the mapping class group of an orientable surface". Inventiones Mathematicae. 84 (1): 157–176. Bibcode:1986InMat..84..157H. doi:10.1007/BF01388737. ISSN 0020-9910. S2CID 121871169.
Masur & Minsky 1999. Masur, Howard A.; Minsky, Yair N. (1999). "Geometry of the complex of curves. I. Hyperbolicity". Invent. Math. 138 (1): 103–149. arXiv:math/9804098. Bibcode:1999InMat.138..103M. doi:10.1007/s002220050343. MR 1714338. S2CID 16199015.
Aougab, Tarik (2013). "Uniform hyperbolicity of the graphs of curves". Geom. Topol. 17 (5): 2855–2875. arXiv:1212.3160. doi:10.2140/gt.2013.17.2855. MR 3190300. S2CID 55100877.
Manganas, Johanna (2010). "Uniform uniform exponential growth of subgroups of the mapping class group". Geom. Funct. Anal. 19 (5): 1468–1480. arXiv:0805.0133. doi:10.1007/s00039-009-0038-y. MR 2585580. S2CID 15662174.
Dahmani, François; Guirardel, Vincent; Osin, Denis (2017). "Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces". Memoirs of the American Mathematical Society. 245 (1156). arXiv:1111.7048. doi:10.1090/memo/1156. S2CID 119137328.
Hempel 2001. Hempel, John (2001). "3-manifolds as viewed from the curve complex". Topology. 40 (3): 631–657. arXiv:math/9712220. doi:10.1016/s0040-9383(00)00033-1. MR 1838999. S2CID 16532184.
Abrams, Aaron; Schleimer, Saul (2005). "Distances of Heegaard splittings". Geom. Topol. 9: 95–119. arXiv:math/0306071. doi:10.2140/gt.2005.9.95. MR 2115669. S2CID 8546698.
Minsky, Yair (2010). "The classification of Kleinian surface groups, I: models and bounds". Annals of Mathematics. 171 (1): 1–107. arXiv:math/0302208. doi:10.4007/annals.2010.171.1. ISSN 0003-486X. S2CID 115634421.
Brock, Jeffrey; Canary, Richard; Minsky, Yair (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (3): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1. ISSN 0003-486X. S2CID 119719908.
Dunfield, Nathan M.; Thurston, William P. (2006). "Finite covers of random 3-manifolds". Invent. Math. 166 (3): 457–521. arXiv:math/0502567. Bibcode:2006InMat.166..457D. doi:10.1007/s00222-006-0001-6. MR 2257389. S2CID 14446676.
Maher, Joseph (2010). "Random Heegaard splittings". Journal of Topology. 3 (4): 997–1025. arXiv:0809.4881. doi:10.1112/jtopol/jtq031. S2CID 14179122.

harvard.edu

ui.adsabs.harvard.edu

Harer, John L. (1986-02-01). "The virtual cohomological dimension of the mapping class group of an orientable surface". Inventiones Mathematicae. 84 (1): 157–176. Bibcode:1986InMat..84..157H. doi:10.1007/BF01388737. ISSN 0020-9910. S2CID 121871169.
Masur & Minsky 1999. Masur, Howard A.; Minsky, Yair N. (1999). "Geometry of the complex of curves. I. Hyperbolicity". Invent. Math. 138 (1): 103–149. arXiv:math/9804098. Bibcode:1999InMat.138..103M. doi:10.1007/s002220050343. MR 1714338. S2CID 16199015.
Dunfield, Nathan M.; Thurston, William P. (2006). "Finite covers of random 3-manifolds". Invent. Math. 166 (3): 457–521. arXiv:math/0502567. Bibcode:2006InMat.166..457D. doi:10.1007/s00222-006-0001-6. MR 2257389. S2CID 14446676.

princeton.edu

annals.math.princeton.edu

Minsky, Yair (2010). "The classification of Kleinian surface groups, I: models and bounds". Annals of Mathematics. 171 (1): 1–107. arXiv:math/0302208. doi:10.4007/annals.2010.171.1. ISSN 0003-486X. S2CID 115634421.
Brock, Jeffrey; Canary, Richard; Minsky, Yair (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (3): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1. ISSN 0003-486X. S2CID 119719908.

semanticscholar.org

api.semanticscholar.org

Harer, John L. (1986-02-01). "The virtual cohomological dimension of the mapping class group of an orientable surface". Inventiones Mathematicae. 84 (1): 157–176. Bibcode:1986InMat..84..157H. doi:10.1007/BF01388737. ISSN 0020-9910. S2CID 121871169.
Masur & Minsky 1999. Masur, Howard A.; Minsky, Yair N. (1999). "Geometry of the complex of curves. I. Hyperbolicity". Invent. Math. 138 (1): 103–149. arXiv:math/9804098. Bibcode:1999InMat.138..103M. doi:10.1007/s002220050343. MR 1714338. S2CID 16199015.
Aougab, Tarik (2013). "Uniform hyperbolicity of the graphs of curves". Geom. Topol. 17 (5): 2855–2875. arXiv:1212.3160. doi:10.2140/gt.2013.17.2855. MR 3190300. S2CID 55100877.
Manganas, Johanna (2010). "Uniform uniform exponential growth of subgroups of the mapping class group". Geom. Funct. Anal. 19 (5): 1468–1480. arXiv:0805.0133. doi:10.1007/s00039-009-0038-y. MR 2585580. S2CID 15662174.
Dahmani, François; Guirardel, Vincent; Osin, Denis (2017). "Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces". Memoirs of the American Mathematical Society. 245 (1156). arXiv:1111.7048. doi:10.1090/memo/1156. S2CID 119137328.
Hempel 2001. Hempel, John (2001). "3-manifolds as viewed from the curve complex". Topology. 40 (3): 631–657. arXiv:math/9712220. doi:10.1016/s0040-9383(00)00033-1. MR 1838999. S2CID 16532184.
Abrams, Aaron; Schleimer, Saul (2005). "Distances of Heegaard splittings". Geom. Topol. 9: 95–119. arXiv:math/0306071. doi:10.2140/gt.2005.9.95. MR 2115669. S2CID 8546698.
Minsky, Yair (2010). "The classification of Kleinian surface groups, I: models and bounds". Annals of Mathematics. 171 (1): 1–107. arXiv:math/0302208. doi:10.4007/annals.2010.171.1. ISSN 0003-486X. S2CID 115634421.
Brock, Jeffrey; Canary, Richard; Minsky, Yair (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (3): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1. ISSN 0003-486X. S2CID 119719908.
Dunfield, Nathan M.; Thurston, William P. (2006). "Finite covers of random 3-manifolds". Invent. Math. 166 (3): 457–521. arXiv:math/0502567. Bibcode:2006InMat.166..457D. doi:10.1007/s00222-006-0001-6. MR 2257389. S2CID 14446676.
Maher, Joseph (2010). "Random Heegaard splittings". Journal of Topology. 3 (4): 997–1025. arXiv:0809.4881. doi:10.1112/jtopol/jtq031. S2CID 14179122.

warwick.ac.uk

homepages.warwick.ac.uk

Schleimer 2006, Lemma 1.21. Schleimer, Saul (2006). "Notes on the complex of curves" (PDF).

worldcat.org

search.worldcat.org

Harer, John L. (1986-02-01). "The virtual cohomological dimension of the mapping class group of an orientable surface". Inventiones Mathematicae. 84 (1): 157–176. Bibcode:1986InMat..84..157H. doi:10.1007/BF01388737. ISSN 0020-9910. S2CID 121871169.
Minsky, Yair (2010). "The classification of Kleinian surface groups, I: models and bounds". Annals of Mathematics. 171 (1): 1–107. arXiv:math/0302208. doi:10.4007/annals.2010.171.1. ISSN 0003-486X. S2CID 115634421.
Brock, Jeffrey; Canary, Richard; Minsky, Yair (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (3): 1–149. arXiv:math/0412006. doi:10.4007/annals.2012.176.1.1. ISSN 0003-486X. S2CID 119719908.