Qiu, Ruifeng; Zou, Yanqing Some results on Heegaard splitting. (English) Zbl 07600115 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 6, 2437-2449 (2022). MSC: 57M50 PDF BibTeX XML Cite \textit{R. Qiu} and \textit{Y. Zou}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 6, 2437--2449 (2022; Zbl 07600115) Full Text: DOI OpenURL
Iguchi, Daiki; Koda, Yuya Distance and the Goeritz groups of bridge decompositions. (English) Zbl 1491.57006 Pac. J. Math. 315, No. 2, 347-368 (2021). Reviewer: Qiang E (Dalian) MSC: 57K10 57M60 PDF BibTeX XML Cite \textit{D. Iguchi} and \textit{Y. Koda}, Pac. J. Math. 315, No. 2, 347--368 (2021; Zbl 1491.57006) Full Text: DOI arXiv OpenURL
Freedman, Michael; Hillman, Jonathan Width of codimension two knots. (English) Zbl 1436.57025 J. Knot Theory Ramifications 29, No. 1, Article ID 1950094, 8 p. (2020). MSC: 57K45 PDF BibTeX XML Cite \textit{M. Freedman} and \textit{J. Hillman}, J. Knot Theory Ramifications 29, No. 1, Article ID 1950094, 8 p. (2020; Zbl 1436.57025) Full Text: DOI arXiv OpenURL
Ozawa, Makoto Knots and surfaces. (English. Japanese original) Zbl 1423.57017 Sugaku Expo. 32, No. 2, 155-179 (2019); translation from Sūgaku 67, No. 4, 403-423 (2015). MSC: 57M25 57-02 57Q35 57N35 PDF BibTeX XML Cite \textit{M. Ozawa}, Sugaku Expo. 32, No. 2, 155--179 (2019; Zbl 1423.57017); translation from Sūgaku 67, No. 4, 403--423 (2015) Full Text: DOI arXiv OpenURL
Saito, Toshio Bicompressible surfaces and incompressible surfaces. (English) Zbl 1475.57022 Bull. Korean Math. Soc. 56, No. 2, 515-520 (2019). Reviewer: Kun Du (Lanzhou) MSC: 57K30 57N16 PDF BibTeX XML Cite \textit{T. Saito}, Bull. Korean Math. Soc. 56, No. 2, 515--520 (2019; Zbl 1475.57022) Full Text: DOI OpenURL
Colding, Tobias Holck; Gabai, David; Ketover, Daniel On the classification of Heegaard splittings. (English) Zbl 1403.57013 Duke Math. J. 167, No. 15, 2833-2856 (2018). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M50 PDF BibTeX XML Cite \textit{T. H. Colding} et al., Duke Math. J. 167, No. 15, 2833--2856 (2018; Zbl 1403.57013) Full Text: DOI arXiv Euclid Link OpenURL
Taylor, Scott A.; Tomova, Maggy Thin position for knots, links, and graphs in 3-manifolds. (English) Zbl 1395.57014 Algebr. Geom. Topol. 18, No. 3, 1361-1409 (2018). Reviewer: Toshio Saito (Joetsu) MSC: 57M25 57M27 57M50 PDF BibTeX XML Cite \textit{S. A. Taylor} and \textit{M. Tomova}, Algebr. Geom. Topol. 18, No. 3, 1361--1409 (2018; Zbl 1395.57014) Full Text: DOI arXiv OpenURL
Cho, Sangbum; Koda, Yuya The disk complex and 2-bridge knots. (English) Zbl 1387.57005 J. Knot Theory Ramifications 27, No. 4, Article ID 1850027, 12 p. (2018). MSC: 57M25 57M20 PDF BibTeX XML Cite \textit{S. Cho} and \textit{Y. Koda}, J. Knot Theory Ramifications 27, No. 4, Article ID 1850027, 12 p. (2018; Zbl 1387.57005) Full Text: DOI arXiv OpenURL
Blair, Ryan; Campisi, Marion; Johnson, Jesse; Taylor, Scott A.; Tomova, Maggy Exceptional and cosmetic surgeries on knots. (English) Zbl 1360.57014 Math. Ann. 367, No. 1-2, 581-622 (2017). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M25 57M27 57M50 PDF BibTeX XML Cite \textit{R. Blair} et al., Math. Ann. 367, No. 1--2, 581--622 (2017; Zbl 1360.57014) Full Text: DOI arXiv OpenURL
Siebenmann, Laurent C. Bisections explain the Reidemeister-Singer theorem: a return to the roots. (Les bissections expliquent le théorème de Reidemeister-Singer : un retour aux sources.) (French. English summary) Zbl 1350.57025 Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 5, 1025-1056 (2015). MSC: 57N10 57-03 01A60 PDF BibTeX XML Cite \textit{L. C. Siebenmann}, Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 5, 1025--1056 (2015; Zbl 1350.57025) Full Text: DOI OpenURL
Takao, Kazuto Heegaard splittings and singularities of the product map of Morse functions. (English) Zbl 1287.57028 Trans. Am. Math. Soc. 366, No. 4, 2209-2226 (2014). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57N10 57M50 57R45 PDF BibTeX XML Cite \textit{K. Takao}, Trans. Am. Math. Soc. 366, No. 4, 2209--2226 (2014; Zbl 1287.57028) Full Text: DOI arXiv OpenURL
Ido, Ayako Isotoping Heegaard surfaces in neat positions with respect to critical distance Heegaard surfaces. (English) Zbl 1241.57027 Topology Appl. 159, No. 4, 1106-1114 (2012). MSC: 57N10 57M27 PDF BibTeX XML Cite \textit{A. Ido}, Topology Appl. 159, No. 4, 1106--1114 (2012; Zbl 1241.57027) Full Text: DOI OpenURL
Ido, Ayako An estimation of Hempel distance by using Reeb graph. (English) Zbl 1228.57008 J. Knot Theory Ramifications 20, No. 8, 1073-1092 (2011). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57M27 57M50 57N16 PDF BibTeX XML Cite \textit{A. Ido}, J. Knot Theory Ramifications 20, No. 8, 1073--1092 (2011; Zbl 1228.57008) Full Text: DOI arXiv OpenURL
Takao, Kazuto A refinement of Johnson’s bounding for the stable genera of Heegaard splittings. (English) Zbl 1220.57012 Osaka J. Math. 48, No. 1, 251-268 (2011). Reviewer: Maria Rita Casali (Modena) MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{K. Takao}, Osaka J. Math. 48, No. 1, 251--268 (2011; Zbl 1220.57012) Full Text: arXiv Euclid OpenURL
Breslin, William Short geodesics in hyperbolic 3-manifolds. (English) Zbl 1221.57027 Algebr. Geom. Topol. 11, No. 2, 735-745 (2011). Reviewer: Ken’ichi Ohshika (Osaka) MSC: 57M50 57M25 53C22 PDF BibTeX XML Cite \textit{W. Breslin}, Algebr. Geom. Topol. 11, No. 2, 735--745 (2011; Zbl 1221.57027) Full Text: DOI arXiv OpenURL
Johnson, Jesse Mapping class groups of medium distance Heegaard splittings. (English) Zbl 1229.57021 Proc. Am. Math. Soc. 138, No. 12, 4529-4535 (2010). Reviewer: Michael Heusener (Aubière) MSC: 57M99 57N10 PDF BibTeX XML Cite \textit{J. Johnson}, Proc. Am. Math. Soc. 138, No. 12, 4529--4535 (2010; Zbl 1229.57021) Full Text: DOI arXiv OpenURL
Johnson, Jesse; Minsky, Yair; Moriah, Yoav Heegaard splittings with large subsurface distances. (English) Zbl 1229.57022 Algebr. Geom. Topol. 10, No. 4, 2251-2275 (2010). Reviewer: Teruhisa Kadokami (Shanghai) MSC: 57M99 57R99 PDF BibTeX XML Cite \textit{J. Johnson} et al., Algebr. Geom. Topol. 10, No. 4, 2251--2275 (2010; Zbl 1229.57022) Full Text: DOI arXiv OpenURL
Bachman, David Topological index theory for surfaces in 3-manifolds. (English) Zbl 1206.57020 Geom. Topol. 14, No. 1, 585-609 (2010). Reviewer: Michael C. Tsau (St. Louis, MO) MSC: 57N10 57M99 PDF BibTeX XML Cite \textit{D. Bachman}, Geom. Topol. 14, No. 1, 585--609 (2010; Zbl 1206.57020) Full Text: DOI arXiv OpenURL
Johnson, Jesse Stable functions and common stabilizations of Heegaard splittings. (English) Zbl 1168.57013 Trans. Am. Math. Soc. 361, No. 7, 3747-3765 (2009). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M50 57N10 PDF BibTeX XML Cite \textit{J. Johnson}, Trans. Am. Math. Soc. 361, No. 7, 3747--3765 (2009; Zbl 1168.57013) Full Text: DOI arXiv OpenURL
Hass, Joel; Thompson, Abigail; Thurston, William Stabilization of Heegaard splittings. (English) Zbl 1177.57018 Geom. Topol. 13, No. 4, 2029-2050 (2009). Reviewer: Mario Eudave-Muñoz (Mexico) MSC: 57N10 57M27 53C43 PDF BibTeX XML Cite \textit{J. Hass} et al., Geom. Topol. 13, No. 4, 2029--2050 (2009; Zbl 1177.57018) Full Text: DOI arXiv OpenURL
Derby-Talbot, Ryan Stabilization, amalgamation and curves of intersection of Heegaard splittings. (English) Zbl 1176.57021 Algebr. Geom. Topol. 9, No. 2, 811-832 (2009). Reviewer: Mario Eudave-Muñoz (Mexico) MSC: 57M99 57M27 57N10 PDF BibTeX XML Cite \textit{R. Derby-Talbot}, Algebr. Geom. Topol. 9, No. 2, 811--832 (2009; Zbl 1176.57021) Full Text: DOI arXiv OpenURL
Scharlemann, Martin; Tomova, Maggy Conway products and links with multiple bridge surfaces. (English) Zbl 1158.57011 Mich. Math. J. 56, No. 1, 113-144 (2008). Reviewer: Kazuhiro Ichihara (Nara) MSC: 57M25 57M27 57M50 PDF BibTeX XML Cite \textit{M. Scharlemann} and \textit{M. Tomova}, Mich. Math. J. 56, No. 1, 113--144 (2008; Zbl 1158.57011) Full Text: DOI arXiv OpenURL
Bachman, David Connected sums of unstabilized Heegaard splittings are unstabilized. (English) Zbl 1152.57020 Geom. Topol. 12, No. 4, 2327-2378 (2008). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57N10 57M27 PDF BibTeX XML Cite \textit{D. Bachman}, Geom. Topol. 12, No. 4, 2327--2378 (2008; Zbl 1152.57020) Full Text: DOI arXiv OpenURL
Costantino, Francesco; Thurston, Dylan 3-manifolds efficiently bound 4-manifolds. (English) Zbl 1166.57016 J. Topol. 1, No. 3, 703-745 (2008). Reviewer: Krzysztof Pawałowski (Poznań) MSC: 57N70 57M20 57R45 57R15 PDF BibTeX XML Cite \textit{F. Costantino} and \textit{D. Thurston}, J. Topol. 1, No. 3, 703--745 (2008; Zbl 1166.57016) Full Text: DOI arXiv OpenURL
Johnson, Jesse Surface bundles with genus two Heegaard splittings. (English) Zbl 1148.57029 J. Topol. 1, No. 3, 671-692 (2008). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57N10 PDF BibTeX XML Cite \textit{J. Johnson}, J. Topol. 1, No. 3, 671--692 (2008; Zbl 1148.57029) Full Text: DOI arXiv OpenURL
Scharlemann, Martin; Tomova, Maggy Uniqueness of bridge surfaces for 2-bridge knots. (English) Zbl 1152.57006 Math. Proc. Camb. Philos. Soc. 144, No. 3, 639-650 (2008). Reviewer: G. Burde (Frankfurt / Main) MSC: 57M25 57N10 PDF BibTeX XML Cite \textit{M. Scharlemann} and \textit{M. Tomova}, Math. Proc. Camb. Philos. Soc. 144, No. 3, 639--650 (2008; Zbl 1152.57006) Full Text: DOI arXiv OpenURL
Li, Tao Saddle tangencies and the distance of Heegaard splittings. (English) Zbl 1134.57005 Algebr. Geom. Topol. 7, 1119-1134 (2007). Reviewer: Maria Rita Casali (Modena) MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{T. Li}, Algebr. Geom. Topol. 7, 1119--1134 (2007; Zbl 1134.57005) Full Text: DOI arXiv OpenURL
Tomova, Maggy Multiple bridge surfaces restrict knot distance. (English) Zbl 1142.57005 Algebr. Geom. Topol. 7, 957-1006 (2007). Reviewer: Mario Eudave-Muñoz (Mexico) MSC: 57M25 57M27 57M50 PDF BibTeX XML Cite \textit{M. Tomova}, Algebr. Geom. Topol. 7, 957--1006 (2007; Zbl 1142.57005) Full Text: DOI arXiv OpenURL
Johnson, Jesse Heegaard splittings and the pants complex. (English) Zbl 1130.57029 Algebr. Geom. Topol. 6, 853-874 (2006). MSC: 57N10 57M27 57M50 PDF BibTeX XML Cite \textit{J. Johnson}, Algebr. Geom. Topol. 6, 853--874 (2006; Zbl 1130.57029) Full Text: DOI arXiv OpenURL
Scharlemann, Martin; Tomova, Maggy Alternate Heegaard genus bounds distance. (English) Zbl 1128.57022 Geom. Topol. 10, 593-617 (2006). MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{M. Scharlemann} and \textit{M. Tomova}, Geom. Topol. 10, 593--617 (2006; Zbl 1128.57022) Full Text: DOI arXiv OpenURL
Li, Tao Heegaard surfaces and measured laminations. II: Non-Haken 3-manifolds. (English) Zbl 1108.57015 J. Am. Math. Soc. 19, No. 3, 625-657 (2006). Reviewer: Michael Heusener (Aubiére) MSC: 57N10 57M25 57M50 PDF BibTeX XML Cite \textit{T. Li}, J. Am. Math. Soc. 19, No. 3, 625--657 (2006; Zbl 1108.57015) Full Text: DOI arXiv OpenURL
Johnson, Jesse Locally unknotted spines of Heegaard splittings. (English) Zbl 1120.57007 Algebr. Geom. Topol. 5, 1573-1584 (2005). Reviewer: Ostap M. Davydov (Chelyabinsk) MSC: 57M27 57Q10 PDF BibTeX XML Cite \textit{J. Johnson}, Algebr. Geom. Topol. 5, 1573--1584 (2005; Zbl 1120.57007) Full Text: DOI arXiv EuDML OpenURL
Schultens, Jennifer Heegaard splittings of graph manifolds. (English) Zbl 1055.57023 Geom. Topol. 8, 831-876 (2004). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M50 57N10 PDF BibTeX XML Cite \textit{J. Schultens}, Geom. Topol. 8, 831--876 (2004; Zbl 1055.57023) Full Text: DOI arXiv EuDML EMIS OpenURL
Kobayashi, Tsuyoshi; Rieck, Yo’av Local detection of strongly irreducible Heegaard splittings via knot exteriors. (English) Zbl 1055.57029 Topology Appl. 138, No. 1-3, 239-251 (2004). Reviewer: Michele Mulazzani (Bologna) MSC: 57N10 57M25 57Q99 PDF BibTeX XML Cite \textit{T. Kobayashi} and \textit{Y. Rieck}, Topology Appl. 138, No. 1--3, 239--251 (2004; Zbl 1055.57029) Full Text: DOI arXiv OpenURL
Bachman, David Critical Heegaard surfaces. (English) Zbl 1003.57023 Trans. Am. Math. Soc. 354, No. 10, 4015-4042 (2002). Reviewer: Alberto Cavicchioli (Modena) MSC: 57N10 57M99 PDF BibTeX XML Cite \textit{D. Bachman}, Trans. Am. Math. Soc. 354, No. 10, 4015--4042 (2002; Zbl 1003.57023) Full Text: DOI arXiv OpenURL
Kobayashi, Tsuyoshi Heegaard splittings of exteriors of two bridge knots. (English) Zbl 1002.57008 Geom. Topol. 5, 609-650 (2001). Reviewer: V.P.Lexin (Kolomna) MSC: 57M25 57M05 PDF BibTeX XML Cite \textit{T. Kobayashi}, Geom. Topol. 5, 609--650 (2001; Zbl 1002.57008) Full Text: DOI arXiv EuDML EMIS OpenURL
Jones, Matt; Scharlemann, Martin How a strongly irreducible Heegaard splitting intersects a handlebody. (English) Zbl 0974.57011 Topology Appl. 110, No. 3, 289-301 (2001). Reviewer: J.Hebda (St.Louis) MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{M. Jones} and \textit{M. Scharlemann}, Topology Appl. 110, No. 3, 289--301 (2001; Zbl 0974.57011) Full Text: DOI arXiv OpenURL
Rubinstein, Hyam; Scharlemann, Martin Comparing Heegaard splittings – the bounded case. (English) Zbl 0892.57009 Trans. Am. Math. Soc. 350, No. 2, 689-715 (1998). Reviewer: Lee P.Neuwirth (Princeton) MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{H. Rubinstein} and \textit{M. Scharlemann}, Trans. Am. Math. Soc. 350, No. 2, 689--715 (1998; Zbl 0892.57009) Full Text: DOI OpenURL
Lei, Fengchun Reducibility and nonbinding. (English) Zbl 0860.57014 Topology Appl. 67, No. 1, 63-69 (1995). Reviewer: He Baihe (Changchun) MSC: 57N10 57M05 PDF BibTeX XML Cite \textit{F. Lei}, Topology Appl. 67, No. 1, 63--69 (1995; Zbl 0860.57014) Full Text: DOI OpenURL