Freedman, Michael The 2-width of embedded 3-manifolds. (English) Zbl 07681766 Peking Math. J. 5, No. 1, 21-35 (2022). MSC: 57R45 PDF BibTeX XML Cite \textit{M. Freedman}, Peking Math. J. 5, No. 1, 21--35 (2022; Zbl 07681766) Full Text: DOI arXiv OpenURL
Meier, Jeffrey; Zupan, Alexander Generalized square knots and homotopy \(4\)-spheres. (English) Zbl 07632809 J. Differ. Geom. 122, No. 1, 69-129 (2022). MSC: 57K10 57K40 57R60 PDF BibTeX XML Cite \textit{J. Meier} and \textit{A. Zupan}, J. Differ. Geom. 122, No. 1, 69--129 (2022; Zbl 07632809) Full Text: DOI arXiv Link OpenURL
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
Gao, Yaru; Li, Fengling; Liang, Liang; Lei, Fengchun Weakly reducible \(H^\prime\)-splittings of \(3\)-manifolds. (English) Zbl 1485.57015 J. Knot Theory Ramifications 30, No. 10, Article ID 2140004, 9 p. (2021). Reviewer: Junhua Wang (Shanghai) MSC: 57K30 PDF BibTeX XML Cite \textit{Y. Gao} et al., J. Knot Theory Ramifications 30, No. 10, Article ID 2140004, 9 p. (2021; Zbl 1485.57015) Full Text: DOI OpenURL
Kwon, Bo-Hyun; Lee, Jung Hoon Properties of Casson-Gordon’s rectangle condition. (English) Zbl 1476.57011 J. Knot Theory Ramifications 29, No. 12, Article ID 2050083, 13 p. (2020). Reviewer: Fengling Li (Dalian) MSC: 57K10 PDF BibTeX XML Cite \textit{B.-H. Kwon} and \textit{J. H. Lee}, J. Knot Theory Ramifications 29, No. 12, Article ID 2050083, 13 p. (2020; Zbl 1476.57011) Full Text: DOI OpenURL
Wang, Junhua; Zou, Yanqing On tunnel numbers of a cable knot and its companion. (English) Zbl 1476.57014 Topology Appl. 282, Article ID 107319, 16 p. (2020). Reviewer: Bo-hyun Kwon (Seoul) MSC: 57K10 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Y. Zou}, Topology Appl. 282, Article ID 107319, 16 p. (2020; Zbl 1476.57014) Full Text: DOI arXiv OpenURL
Lee, J. H.; Saito, T. Minimal partitions for critical Heegaard splittings. (English) Zbl 1439.57037 J. Knot Theory Ramifications 29, No. 4, Article ID 2050023, 7 p. (2020). MSC: 57K30 57M50 PDF BibTeX XML Cite \textit{J. H. Lee} and \textit{T. Saito}, J. Knot Theory Ramifications 29, No. 4, Article ID 2050023, 7 p. (2020; Zbl 1439.57037) Full Text: DOI OpenURL
Kim, Jungsoo Generalized Heegaard splittings and the disk complex. (English) Zbl 1475.57021 Osaka J. Math. 57, No. 1, 103-140 (2020). Reviewer: Hoang Thanh Nguyen (Beijing) MSC: 57K30 57M50 PDF BibTeX XML Cite \textit{J. Kim}, Osaka J. Math. 57, No. 1, 103--140 (2020; Zbl 1475.57021) Full Text: arXiv Euclid OpenURL
Blair, Ryan; Ozawa, Makoto Height, trunk and representativity of knots. (English) Zbl 1441.57004 J. Math. Soc. Japan 71, No. 4, 1105-1121 (2019). Reviewer: Kevin Lamb (Sacramento) MSC: 57K10 PDF BibTeX XML Cite \textit{R. Blair} and \textit{M. Ozawa}, J. Math. Soc. Japan 71, No. 4, 1105--1121 (2019; Zbl 1441.57004) Full Text: DOI arXiv Euclid 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
Lamb, Kevin; Weed, Patrick A distance for circular Heegaard splittings. (English) Zbl 1429.57011 J. Knot Theory Ramifications 28, No. 9, Article ID 1950059, 34 p. (2019). Reviewer: Toshio Saito (Joetsu) MSC: 57K30 57K10 PDF BibTeX XML Cite \textit{K. Lamb} and \textit{P. Weed}, J. Knot Theory Ramifications 28, No. 9, Article ID 1950059, 34 p. (2019; Zbl 1429.57011) Full Text: DOI arXiv OpenURL
Li, Yang; Yang, Guoqiu The amalgamation of high distance Heegaard splittings along tori. (English) Zbl 1410.57017 J. Knot Theory Ramifications 28, No. 2, Article ID 1950014, 10 p. (2019). Reviewer: Kun Du (Lanzhou) MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{Y. Li} and \textit{G. Yang}, J. Knot Theory Ramifications 28, No. 2, Article ID 1950014, 10 p. (2019; Zbl 1410.57017) Full Text: DOI OpenURL
Bachman, David; Derby-Talbot, Ryan; Sedgwick, Eric Computing Heegaard genus is NP-hard. (English) Zbl 1388.57020 Loebl, Martin (ed.) et al., A journey through discrete mathematics. A tribute to Jiří Matoušek. Cham: Springer (ISBN 978-3-319-44478-9/hbk; 978-3-319-44479-6/ebook). 59-87 (2017). Reviewer: James Hebda (St. Louis) MSC: 57N10 68Q17 PDF BibTeX XML Cite \textit{D. Bachman} et al., in: A journey through discrete mathematics. A tribute to Jiří Matoušek. Cham: Springer. 59--87 (2017; Zbl 1388.57020) Full Text: DOI arXiv OpenURL
Du, Kun; Qiu, Ruifeng Minimal Heegaard genus of amalgamated \(3\)-manifolds. (English) Zbl 1378.57018 J. Knot Theory Ramifications 26, No. 11, Article ID 1750063, 7 p. (2017). MSC: 57M27 57M50 57N10 PDF BibTeX XML Cite \textit{K. Du} and \textit{R. Qiu}, J. Knot Theory Ramifications 26, No. 11, Article ID 1750063, 7 p. (2017; Zbl 1378.57018) Full Text: DOI OpenURL
E, Qiang On keen weakly reducible Heegaard splittings. (English) Zbl 1377.57021 Topology Appl. 231, 128-135 (2017). Reviewer: Kun Du (Lanzhou) MSC: 57N10 57M27 PDF BibTeX XML Cite \textit{Q. E}, Topology Appl. 231, 128--135 (2017; Zbl 1377.57021) Full Text: DOI arXiv OpenURL
Du, Kun Structure of Heegaard splitting of self-amalgamated 3-manifold. (English) Zbl 1373.57029 Topology Appl. 229, 176-186 (2017). Reviewer: Alex Casella (Sydney) MSC: 57M27 57M50 57N10 PDF BibTeX XML Cite \textit{K. Du}, Topology Appl. 229, 176--186 (2017; Zbl 1373.57029) Full Text: DOI OpenURL
Bachman, David; Derby-Talbot, Ryan; Sedgwick, Eric Heegaard structure respects complicated JSJ decompositions. (English) Zbl 1351.57025 Math. Ann. 365, No. 3-4, 1137-1154 (2016). Reviewer: Jessica Banks (Hull) MSC: 57M99 PDF BibTeX XML Cite \textit{D. Bachman} et al., Math. Ann. 365, No. 3--4, 1137--1154 (2016; Zbl 1351.57025) Full Text: DOI arXiv OpenURL
Zhang, Faze; Qiu, Ruifeng; Zou, Yanqing Infinitely many hyperbolic 3-manifolds admitting distance-\(d\) and genus-\(g\) Heegaard splittings. (English) Zbl 1337.57047 Geom. Dedicata 181, 213-222 (2016). MSC: 57M50 PDF BibTeX XML Cite \textit{F. Zhang} et al., Geom. Dedicata 181, 213--222 (2016; Zbl 1337.57047) Full Text: DOI OpenURL
Du, Kun; Qiu, Ruifeng A note on the uniqueness of unstabilized Heegaard splittings of amalgamated 3-manifolds. (English) Zbl 1337.57053 Topology Appl. 204, 135-148 (2016). MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{K. Du} and \textit{R. Qiu}, Topology Appl. 204, 135--148 (2016; Zbl 1337.57053) Full Text: DOI OpenURL
Li, Tao; Qiu, Ruifeng On the degeneration of tunnel numbers under a connected sum. (English) Zbl 1337.57028 Trans. Am. Math. Soc. 368, No. 4, 2793-2807 (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57M25 57N10 PDF BibTeX XML Cite \textit{T. Li} and \textit{R. Qiu}, Trans. Am. Math. Soc. 368, No. 4, 2793--2807 (2016; Zbl 1337.57028) Full Text: DOI arXiv OpenURL
Blair, Ryan; Campisi, Marion; Johnson, Jesse; Taylor, Scott A.; Tomova, Maggy Distance two links. (English) Zbl 1335.57011 Geom. Dedicata 180, 17-37 (2016). Reviewer: Jessica Banks (Hull) MSC: 57M25 PDF BibTeX XML Cite \textit{R. Blair} et al., Geom. Dedicata 180, 17--37 (2016; Zbl 1335.57011) Full Text: DOI arXiv OpenURL
Zou, Yanqing; Liu, Ximin Bilateral self-amalgamation of a Heegaard splitting and Hempel distance. (English) Zbl 1326.57042 Sci. China, Math. 58, No. 7, 1499-1510 (2015). MSC: 57N10 57M27 PDF BibTeX XML Cite \textit{Y. Zou} and \textit{X. Liu}, Sci. China, Math. 58, No. 7, 1499--1510 (2015; Zbl 1326.57042) Full Text: DOI OpenURL
Guo, Qilong; Qiu, Ruifeng; Zou, Yanqing A note on Heegaard genus of self-amalgamated 3-manifold. (English) Zbl 1310.57025 Chin. Ann. Math., Ser. B 36, No. 1, 51-56 (2015). MSC: 57M27 PDF BibTeX XML Cite \textit{Q. Guo} et al., Chin. Ann. Math., Ser. B 36, No. 1, 51--56 (2015; Zbl 1310.57025) Full Text: DOI OpenURL
Renard, Claire Circular characteristics and fibrations of hyperbolic closed 3-manifolds. (English) Zbl 1302.57048 Proc. Am. Math. Soc. 142, No. 10, 3649-3664 (2014). MSC: 57M27 57M10 57M50 20F67 PDF BibTeX XML Cite \textit{C. Renard}, Proc. Am. Math. Soc. 142, No. 10, 3649--3664 (2014; Zbl 1302.57048) Full Text: DOI arXiv OpenURL
Johnson, Jesse Topological graph clustering with thin position. (English) Zbl 1302.68218 Geom. Dedicata 169, 165-173 (2014). MSC: 68R10 05C70 68T05 57M20 PDF BibTeX XML Cite \textit{J. Johnson}, Geom. Dedicata 169, 165--173 (2014; Zbl 1302.68218) Full Text: DOI arXiv OpenURL
Kim, Jungsoo On unstabilized genus three critical Heegaard surfaces. (English) Zbl 1287.57024 Topology Appl. 165, 98-109 (2014). Reviewer: Andrei Vesnin (Novosibirsk) MSC: 57M50 57M25 PDF BibTeX XML Cite \textit{J. Kim}, Topology Appl. 165, 98--109 (2014; Zbl 1287.57024) Full Text: DOI arXiv OpenURL
Renard, Claire Detecting surface bundles in finite covers of hyperbolic closed 3-manifolds. (English) Zbl 1286.57008 Trans. Am. Math. Soc. 366, No. 2, 979-1027 (2014). Reviewer: Thilo Kuessner (Seoul) MSC: 57M27 57M10 57M50 20F67 PDF BibTeX XML Cite \textit{C. Renard}, Trans. Am. Math. Soc. 366, No. 2, 979--1027 (2014; Zbl 1286.57008) Full Text: DOI arXiv Link OpenURL
Yang, Guoqiu; Yin, Xunbo; Lei, Fengchun Tunnel number one knots, \(m\)-small knots and the Morimoto conjecture. (English) Zbl 1282.57015 Proc. Am. Math. Soc. 141, No. 12, 4391-4399 (2013). Reviewer: James Hebda (St. Louis) MSC: 57M25 PDF BibTeX XML Cite \textit{G. Yang} et al., Proc. Am. Math. Soc. 141, No. 12, 4391--4399 (2013; Zbl 1282.57015) Full Text: DOI OpenURL
Li, Tao Rank and genus of 3-manifolds. (English) Zbl 1277.57004 J. Am. Math. Soc. 26, No. 3, 777-829 (2013). Reviewer: Maria Rita Casali (Modena) MSC: 57M05 57M27 57M50 57N10 PDF BibTeX XML Cite \textit{T. Li}, J. Am. Math. Soc. 26, No. 3, 777--829 (2013; Zbl 1277.57004) Full Text: DOI arXiv OpenURL
Bachman, David Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds. (English) Zbl 1260.57036 Math. Ann. 355, No. 2, 697-728 (2013). Reviewer: Yu Zhang (Harbin) MSC: 57N10 PDF BibTeX XML Cite \textit{D. Bachman}, Math. Ann. 355, No. 2, 697--728 (2013; Zbl 1260.57036) Full Text: DOI arXiv OpenURL
Taylor, Scott A.; Tomova, Maggy Heegaard surfaces for certain graphs in compressionbodies. (English) Zbl 1283.57015 Rev. Mat. Complut. 25, No. 2, 511-555 (2012). Reviewer: Leonid Plachta (Kraków) MSC: 57M25 57M27 PDF BibTeX XML Cite \textit{S. A. Taylor} and \textit{M. Tomova}, Rev. Mat. Complut. 25, No. 2, 511--555 (2012; Zbl 1283.57015) Full Text: DOI arXiv OpenURL
Guo, Qilong; Zou, Yanqing A formula on Heegaard genus of self-amalgamated 3-manifolds. (English) Zbl 1234.57023 Topology Appl. 159, No. 5, 1300-1303 (2012). MSC: 57N10 PDF BibTeX XML Cite \textit{Q. Guo} and \textit{Y. Zou}, Topology Appl. 159, No. 5, 1300--1303 (2012; Zbl 1234.57023) Full Text: DOI OpenURL
Du, Kun; Gao, Xutao A note on Heegaard splittings of amalgamated 3-manifolds. (English) Zbl 1297.57048 Chin. Ann. Math., Ser. B 32, No. 3, 475-482 (2011). MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{K. Du} and \textit{X. Gao}, Chin. Ann. Math., Ser. B 32, No. 3, 475--482 (2011; Zbl 1297.57048) Full Text: DOI OpenURL
Yang, Guo Qiu; Lei, Feng Chun Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down. (English) Zbl 1238.57014 Acta Math. Sin., Engl. Ser. 27, No. 11, 2229-2244 (2011). Reviewer: Sangbum Cho (Seoul) MSC: 57M25 PDF BibTeX XML Cite \textit{G. Q. Yang} and \textit{F. C. Lei}, Acta Math. Sin., Engl. Ser. 27, No. 11, 2229--2244 (2011; Zbl 1238.57014) Full Text: DOI OpenURL
Gao, Xutao; Guo, Qilong; Qiu, Ruifeng A note on tunnel number of composite knots. (English) Zbl 1228.57003 Topology Appl. 158, No. 16, 2240-2243 (2011); erratum ibid. 169, No. 3, 934 (2012). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M25 57M50 PDF BibTeX XML Cite \textit{X. Gao} et al., Topology Appl. 158, No. 16, 2240--2243 (2011; Zbl 1228.57003) Full Text: DOI OpenURL
Li, Tao An algorithm to determine the Heegaard genus of a 3-manifold. (English) Zbl 1221.57034 Geom. Topol. 15, No. 2, 1029-1106 (2011). Reviewer: Thilo Kuessner (Münster) MSC: 57N10 57R65 57M27 PDF BibTeX XML Cite \textit{T. Li}, Geom. Topol. 15, No. 2, 1029--1106 (2011; Zbl 1221.57034) Full Text: DOI arXiv OpenURL
Zupan, Alexander Unexpected local minima in the width complexes for knots. (English) Zbl 1227.57015 Algebr. Geom. Topol. 11, No. 2, 1097-1105 (2011). Reviewer: Dieter Erle (Dortmund) MSC: 57M25 57M27 05C20 57N10 PDF BibTeX XML Cite \textit{A. Zupan}, Algebr. Geom. Topol. 11, No. 2, 1097--1105 (2011; Zbl 1227.57015) Full Text: DOI arXiv Backlinks: MO OpenURL
Li, FengLing; Yang, GuoQiu; Lei, FengChun A sufficient condition for the genus of an amalgamated 3-manifold not to go down. (English) Zbl 1210.57022 Sci. China, Math. 53, No. 7, 1697-1702 (2010). MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{F. Li} et al., Sci. China, Math. 53, No. 7, 1697--1702 (2010; Zbl 1210.57022) Full Text: DOI OpenURL
Li, Tao Heegaard surfaces and the distance of amalgamation. (English) Zbl 1207.57031 Geom. Topol. 14, No. 4, 1871-1919 (2010). Reviewer: James Hebda (St. Louis) MSC: 57N10 57M27 57M50 PDF BibTeX XML Cite \textit{T. Li}, Geom. Topol. 14, No. 4, 1871--1919 (2010; Zbl 1207.57031) Full Text: DOI arXiv OpenURL
Qiu, Ruifeng; Wang, Shicheng; Zhang, Mingxing The Heegaard genera of surface sums. (English) Zbl 1190.57007 Topology Appl. 157, No. 9, 1593-1601 (2010). MSC: 57M25 57N10 PDF BibTeX XML Cite \textit{R. Qiu} et al., Topology Appl. 157, No. 9, 1593--1601 (2010; Zbl 1190.57007) Full Text: DOI arXiv OpenURL
Li, Fengling; Yang, Guoqiu; Lei, Fengchun Heegaard genera of high distance are additive under annulus sum. (English) Zbl 1189.57020 Topology Appl. 157, No. 7, 1188-1194 (2010). MSC: 57N10 57M99 PDF BibTeX XML Cite \textit{F. Li} et al., Topology Appl. 157, No. 7, 1188--1194 (2010; Zbl 1189.57020) Full Text: DOI OpenURL
Du, Kun; Qiu, Ruifeng The self-amalgamation of high distance Heegaard splittings is always efficient. (English) Zbl 1189.57004 Topology Appl. 157, No. 7, 1136-1141 (2010). MSC: 57M25 PDF BibTeX XML Cite \textit{K. Du} and \textit{R. Qiu}, Topology Appl. 157, No. 7, 1136--1141 (2010; Zbl 1189.57004) Full Text: DOI OpenURL
Yang, Guoqiu; Lei, Fengchun Amalgamations of Heegaard splittings in 3-manifolds without some essential surfaces. (English) Zbl 1188.57016 Algebr. Geom. Topol. 9, No. 4, 2041-2054 (2009). Reviewer: James Hebda (St. Louis) MSC: 57N10 57M99 57M27 PDF BibTeX XML Cite \textit{G. Yang} and \textit{F. Lei}, Algebr. Geom. Topol. 9, No. 4, 2041--2054 (2009; Zbl 1188.57016) Full Text: DOI OpenURL
Manjarrez-Gutiérrez, Fabiola Circular thin position for knots in \(S^{3}\). (English) Zbl 1171.57005 Algebr. Geom. Topol. 9, No. 1, 429-454 (2009). Reviewer: Hiroshi Goda (Tokyo) MSC: 57M25 PDF BibTeX XML Cite \textit{F. Manjarrez-Gutiérrez}, Algebr. Geom. Topol. 9, No. 1, 429--454 (2009; Zbl 1171.57005) Full Text: DOI arXiv OpenURL
Yang, Guoqiu; Lei, Fengchun On amalgamations of Heegaard splittings with high distance. (English) Zbl 1162.57013 Proc. Am. Math. Soc. 137, No. 2, 723-731 (2009). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M50 57N10 PDF BibTeX XML Cite \textit{G. Yang} and \textit{F. Lei}, Proc. Am. Math. Soc. 137, No. 2, 723--731 (2009; Zbl 1162.57013) Full Text: DOI OpenURL
Lackenby, Marc An algorithm to determine the Heegaard genus of simple 3-manifolds with nonempty boundary. (English) Zbl 1154.57018 Algebr. Geom. Topol. 8, No. 2, 911-934 (2008). Reviewer: Lorena Armas-Sanabria (Mexico) MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{M. Lackenby}, Algebr. Geom. Topol. 8, No. 2, 911--934 (2008; Zbl 1154.57018) 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
Howards, Hugh Nelson; Schultens, Jennifer Thin position for knots and 3-manifolds. (English) Zbl 1155.57005 Topology Appl. 155, No. 13, 1371-1381 (2008). Reviewer: Riccardo Piergallini (Camerino) MSC: 57M25 57M12 57N10 PDF BibTeX XML Cite \textit{H. N. Howards} and \textit{J. Schultens}, Topology Appl. 155, No. 13, 1371--1381 (2008; Zbl 1155.57005) Full Text: DOI OpenURL
Kobayashi, Tsuyoshi; Qiu, Ruifeng The amalgamation of high distance Heegaard splittings is always efficient. (English) Zbl 1140.57012 Math. Ann. 341, No. 3, 707-715 (2008). MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{T. Kobayashi} and \textit{R. Qiu}, Math. Ann. 341, No. 3, 707--715 (2008; Zbl 1140.57012) Full Text: DOI OpenURL
Schultens, Jennifer Heegaard genus formula for Haken manifolds. (English) Zbl 1099.57019 Geom. Dedicata 119, 49-68 (2006). Reviewer: Ioan Pop (Iaşi) MSC: 57N10 PDF BibTeX XML Cite \textit{J. Schultens}, Geom. Dedicata 119, 49--68 (2006; Zbl 1099.57019) Full Text: DOI arXiv OpenURL
Bachman, David; Schleimer, Saul; Sedgwick, Eric Sweepouts of amalgamated 3-manifolds. (English) Zbl 1099.57016 Algebr. Geom. Topol. 6, 171-194 (2006). Reviewer: Alberto Cavicchioli (Modena) MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{D. Bachman} et al., Algebr. Geom. Topol. 6, 171--194 (2006; Zbl 1099.57016) Full Text: DOI arXiv EuDML EMIS OpenURL
Lackenby, Marc Heegaard splittings, the virtually Haken conjecture and property \((\tau)\). (English) Zbl 1110.57015 Invent. Math. 164, No. 2, 317-359 (2006). Reviewer: Yo’av Rieck (Fayetteville) MSC: 57N10 57M10 58C40 05C25 57M15 PDF BibTeX XML Cite \textit{M. Lackenby}, Invent. Math. 164, No. 2, 317--359 (2006; Zbl 1110.57015) Full Text: DOI arXiv OpenURL
Maher, Joseph Heegaard gradient and virtual fibers. (English) Zbl 1100.57002 Geom. Topol. 9, 2227-2259 (2005). Reviewer: Andrei Vesnin (Novosibirsk) MSC: 57M10 57M50 57N10 PDF BibTeX XML Cite \textit{J. Maher}, Geom. Topol. 9, 2227--2259 (2005; Zbl 1100.57002) Full Text: DOI arXiv EuDML OpenURL
Scharlemann, Martin; Thompson, Abigail Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds. (English) Zbl 1071.57015 Proc. Am. Math. Soc. 133, No. 6, 1573-1580 (2005). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57M50 57M25 PDF BibTeX XML Cite \textit{M. Scharlemann} and \textit{A. Thompson}, Proc. Am. Math. Soc. 133, No. 6, 1573--1580 (2005; Zbl 1071.57015) Full Text: DOI arXiv OpenURL
Lackenby, Marc The Heegaard genus of amalgamated 3-manifolds. (English) Zbl 1081.57018 Geom. Dedicata 109, 139-145 (2004). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57N10 PDF BibTeX XML Cite \textit{M. Lackenby}, Geom. Dedicata 109, 139--145 (2004; Zbl 1081.57018) Full Text: DOI arXiv 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
Bachman, David Heegaard splittings with boundary and almost normal surfaces. (English) Zbl 1054.57023 Topology Appl. 116, No. 2, 153-184 (2001); erratum ibid. 143, No. 1-3 (2004). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{D. Bachman}, Topology Appl. 116, No. 2, 153--184 (2004; Zbl 1054.57023) 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
King, Simon A. The size of triangulations supporting a given link. (English) Zbl 1021.57005 Geom. Topol. 5, 369-398 (2001). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 57Q15 68Q25 PDF BibTeX XML Cite \textit{S. A. King}, Geom. Topol. 5, 369--398 (2001; Zbl 1021.57005) Full Text: DOI arXiv EuDML EMIS OpenURL
Sedgwick, Eric Genus two \(3\)-manifolds are built from handle number one pieces. (English) Zbl 0977.57015 Algebr. Geom. Topol. 1, 763-790 (2001). MSC: 57N10 57M99 PDF BibTeX XML Cite \textit{E. Sedgwick}, Algebr. Geom. Topol. 1, 763--790 (2001; Zbl 0977.57015) Full Text: DOI arXiv EuDML EMIS OpenURL
Eudave-Muñoz, Mario; Shor, Jeremy A universal bound for surfaces in \(3\)-manifolds with a given Heegaard genus. (English) Zbl 0967.57018 Algebr. Geom. Topol. 1, 31-37 (2001). Reviewer: Alberto Cavicchioli (Modena) MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{M. Eudave-Muñoz} and \textit{J. Shor}, Algebr. Geom. Topol. 1, 31--37 (2001; Zbl 0967.57018) Full Text: DOI arXiv EuDML EMIS OpenURL
Scharlemann, Martin; Schultens, Jennifer Comparing Heegaard and JSJ structures of orientable 3-manifolds. (English) Zbl 0959.57010 Trans. Am. Math. Soc. 353, No. 2, 557-584 (2001). Reviewer: J.Hebda (St.Louis) MSC: 57M50 57N10 PDF BibTeX XML Cite \textit{M. Scharlemann} and \textit{J. Schultens}, Trans. Am. Math. Soc. 353, No. 2, 557--584 (2001; Zbl 0959.57010) Full Text: DOI arXiv OpenURL
Bleiler, Steven A. Little big knots. (English) Zbl 0937.57003 Chaos Solitons Fractals 9, No. 4-5, 681-692 (1998). Reviewer: Makoto Ozawa (Tokyo) MSC: 57M25 PDF BibTeX XML Cite \textit{S. A. Bleiler}, Chaos Solitons Fractals 9, No. 4--5, 681--692 (1998; Zbl 0937.57003) Full Text: DOI OpenURL
Scharlemann, Martin Local detection of strongly irreducible Heegaard splittings. (English) Zbl 0926.57018 Topology Appl. 90, No. 1-3, 135-147 (1998). Reviewer: D.McCullough (Norman) MSC: 57N10 57M99 PDF BibTeX XML Cite \textit{M. Scharlemann}, Topology Appl. 90, No. 1--3, 135--147 (1998; Zbl 0926.57018) Full Text: DOI 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