Hensel, Sebastian; Schultens, Jennifer The strong Haken theorem via sphere complexes. (English) Zbl 07922367 Algebr. Geom. Topol. 24, No. 5, 2707-2719 (2024). Reviewer: Kun Du (Lanzhou) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Tao Taut foliations of 3-manifolds with Heegaard genus 2. (English) Zbl 07875309 Duke Math. J. 173, No. 8, 1427-1475 (2024). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57K30 57K35 57M05 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meier, Jeffrey Filling braided links with trisected surfaces. (English) Zbl 1541.57022 Algebr. Geom. Topol. 24, No. 2, 803-895 (2024). Reviewer: Inasa Nakamura (Saga) MSC: 57K45 57K10 57K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scharlemann, Martin A strong Haken theorem. (English) Zbl 1544.57012 Algebr. Geom. Topol. 24, No. 2, 717-753 (2024). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57K30 57K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freedman, Michael; Scharlemann, Martin Uniqueness in Haken’s theorem. (English) Zbl 07828362 Mich. Math. J. 74, No. 1, 119-142 (2024). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zou, Yanqing An upper bound on distance degenerate handle additions. (English) Zbl 07935160 Commun. Anal. Geom. 31, No. 9, 2195-2226 (2023). Reviewer: Kun Du (Lanzhou) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ogawa, Masaki Stable equivalence of handlebody decompositions whose partitions are multibranched surfaces. (English) Zbl 07739140 Topology Appl. 338, Article ID 108649, 15 p. (2023). Reviewer: Qiang E (Dalian) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
E, Qiang; Zhang, Zhiyan On Heegaard splittings with finitely many pairs of disjoint compression disks. (English) Zbl 1538.57003 J. Math. Res. Appl. 43, No. 4, 496-504 (2023). MSC: 57K31 57K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kurihara, Hiroaki On invariants of surfaces in the 3-sphere. (English) Zbl 1518.57020 J. Knot Theory Ramifications 32, No. 6, Article ID 2350046, 29 p. (2023). Reviewer: Kun Du (Lanzhou) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Sangbum; Lee, Jung Hoon Note on primitive disk complexes. (English) Zbl 1518.57019 Topology Appl. 332, Article ID 108521, 5 p. (2023). Reviewer: Ryo Ohashi (Wilkes-Barre) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koda, Yuya; Sakuma, Makoto Homotopy motions of surfaces in 3-manifolds. (English) Zbl 1514.57023 Q. J. Math. 74, No. 1, 29-71 (2023). Reviewer: Kun Du (Lanzhou) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cengiz, Mustafa Heegaard genus and complexity of fibered knots. (English) Zbl 1527.57013 J. Topol. 15, No. 4, 2389-2425 (2022). Reviewer: Junhua Wang (Shanghai) MSC: 57K30 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Tao Heegaard genus, degree-one maps, and amalgamation of 3-manifolds. (English) Zbl 1526.57014 J. Topol. 15, No. 3, 1540-1579 (2022). Reviewer: Kun Du (Lanzhou) MSC: 57K30 57K10 57M50 55M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, He; Lei, Fengchun; Li, Fengling A sufficient and necessary condition for a surface sum of two compression bodies to be a compression body. (Chinese. English summary) Zbl 1524.57002 Chin. Ann. Math., Ser. A 43, No. 4, 357-366 (2022). MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI
Hoffoss, Diane; Maher, Joseph Morse functions to graphs and topological complexity for hyperbolic \(3\)-manifolds. (English) Zbl 1522.57042 Commun. Anal. Geom. 30, No. 4, 843-868 (2022). Reviewer: Dmitry V. Bolotov (Kharkiv) MSC: 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colding, Tobias Holck; Gabai, David; Ketover, Daniel Geometric methods in Heegaard theory. (English) Zbl 1508.57020 Agol, Ian (ed.) et al., Surveys in 3-manifold topology and geometry. Somerville, MA: International Press. Surv. Differ. Geom. 25, 33-70 (2022). Reviewer: Kun Du (Lanzhou) MSC: 57K30 57-02 × Cite Format Result Cite Review PDF Full Text: arXiv
Ito, Yasuyoshi; Ogawa, Masaki Erratum to: “Decompositions of the 3-sphere and lens spaces with three handlebodies”. (English) Zbl 1502.57006 J. Knot Theory Ramifications 31, No. 11, Article ID 2292001, 2 p. (2022). MSC: 57K10 57N35 57Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, Yunguang; Lei, Fengchun; Li, Fengling A necessary and sufficient condition for a Heegaard splitting to be keen weakly reducible. (English) Zbl 1503.57016 Topology Appl. 321, Article ID 108254, 10 p. (2022). Reviewer: Kun Du (Lanzhou) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Liyuan; Liang, Liang; Lei, Fengchun Strongly irreducible self-amalgamation of a handlebody. (English) Zbl 1513.57005 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 6, 2336-2342 (2022). MSC: 57K30 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Faes, Quentin Triviality of the \(J_4\)-equivalence among homology 3-spheres. (English) Zbl 1497.57019 Trans. Am. Math. Soc. 375, No. 9, 6597-6620 (2022). Reviewer: Bruno Zimmermann (Trieste) MSC: 57K20 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ito, Yasuyoshi; Ogawa, Masaki Decompositions of the \(3\)-sphere and lens spaces with three handlebodies. (English) Zbl 1483.57005 J. Knot Theory Ramifications 30, No. 9, Article ID 2150068, 45 p. (2021); erratum ibid. 31, No. 11, Article ID 2292001, 2 p. (2022). Reviewer: Kun Du (Lanzhou) MSC: 57K10 57N35 57Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Islambouli, Gabriel Nielsen equivalence and trisections. (English) Zbl 1480.57021 Geom. Dedicata 214, 303-317 (2021). Reviewer: José Román Aranda Cuevas (Vestal) MSC: 57K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavallo, Alberto; Collari, Carlo; Conway, Anthony A note on the weak splitting number. (English) Zbl 1460.57002 Proc. Am. Math. Soc. 149, No. 3, 1305-1321 (2021). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57K10 57K18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zimmermann, Bruno P. Tetrahedral Coxeter groups, large group-actions on 3-manifolds and equivariant Heegaard splittings. (English) Zbl 1472.57029 Rend. Ist. Mat. Univ. Trieste 52, 601-612 (2020). Reviewer: Benjamin Peet (Lacey) MSC: 57M60 57S17 57S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Li, Fengling; Wang, Dongxu; Liang, Liang; Lei, Fengchun An equivalent description of the Lens space \(L(p, q)\) with \(p\) prime. (English) Zbl 1456.57018 J. Knot Theory Ramifications 29, No. 10, Article ID 2042005, 9 p. (2020). Reviewer: Benjamin Peet (Lacey) MSC: 57K30 × Cite Format Result Cite Review PDF Full Text: DOI
Abouzaid, Mohammed; Manolescu, Ciprian A sheaf-theoretic model for SL \((2, \mathbb C)\) Floer homology. (English) Zbl 1455.57018 J. Eur. Math. Soc. (JEMS) 22, No. 11, 3641-3695 (2020). Reviewer: Roman Golovko (Praha) MSC: 57K18 53D40 57R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scharlemann, Martin One Powell generator is redundant. (English) Zbl 1453.57016 Proc. Am. Math. Soc., Ser. B 7, 138-141 (2020). MSC: 57K30 57K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costantino, Francesco; Geer, Nathan; Patureau-Mirand, Bertrand; Turaev, Vladimir Kuperberg and Turaev-Viro invariants in unimodular categories. (English) Zbl 1454.18014 Pac. J. Math. 306, No. 2, 421-450 (2020). MSC: 18M05 05E45 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Lambert-Cole, Peter Trisections, intersection forms and the Torelli group. (English) Zbl 1441.57023 Algebr. Geom. Topol. 20, No. 2, 1015-1040 (2020). Reviewer: Bruno Zimmermann (Trieste) MSC: 57K40 57K20 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ketover, Daniel; Marques, Fernando C.; Neves, André The catenoid estimate and its geometric applications. (English) Zbl 1439.53064 J. Differ. Geom. 115, No. 1, 1-26 (2020). Reviewer: James Hebda (St. Louis) MSC: 53C42 49K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cho, Sangbum; Koda, Yuya; Lee, Jung Hoon Disk surgery and the primitive disk complexes of the 3-sphere. (English) Zbl 1436.57027 Topology Appl. 272, Article ID 107092, 6 p. (2020). Reviewer: Kevin Lamb (Sacramento) MSC: 57M05 57K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iguchi, Daiki; Koda, Yuya Twisted book decompositions and the Goeritz groups. (English) Zbl 1480.57019 Topology Appl. 272, Article ID 107064, 15 p. (2020). Reviewer: Qiang E (Dalian) MSC: 57K30 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berestovskii, Valerii N. The Poincaré conjecture and related statements. (English) Zbl 1454.57001 Dani, S. G. (ed.) et al., Geometry in history. Cham: Springer. 623-685 (2019). MSC: 57-03 01A60 57-02 57K30 57R60 57Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Ruifeng; Zou, Yanqing \(3\)-manifolds admitting locally large distance \(2\) Heegaard splittings. (English) Zbl 1461.57006 Commun. Anal. Geom. 27, No. 6, 1355-1379 (2019). Reviewer: Toshio Saito (Joetsu) MSC: 57K35 57K33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, K. Common stabilizations of amalgamated Heegaard splitting and dual Heegaard splitting. (English) Zbl 1438.57003 Acta Math. Hung. 158, No. 1, 53-65 (2019). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57K30 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Ichihara, Kazuhiro; Ozawa, Makoto; Hyam Rubinstein, J. Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds. (English) Zbl 1422.57054 Topology Appl. 264, 21-26 (2019). MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Kun Unstabilized weakly reducible Heegaard splittings. (English) Zbl 1420.57034 Osaka J. Math. 56, No. 1, 165-172 (2019). Reviewer: Toshio Saito (Joetsu) MSC: 57M27 57M50 57N10 × Cite Format Result Cite Review PDF Full Text: Euclid
Du, Kun On distance degenerating handlebody fillings. (English) Zbl 1416.57006 Topology Appl. 258, 21-25 (2019). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57M27 57M50 57N10 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Sangbum; Koda, Yuya The mapping class groups of reducible Heegaard splittings of genus two. (English) Zbl 1406.57015 Trans. Am. Math. Soc. 371, No. 4, 2473-2502 (2019). Reviewer: Kun Du (Lanzhou) MSC: 57N10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grines, V. Z.; Gurevich, E. Ya.; Zhuzhoma, E. V.; Medvedev, V. S. On topology of manifolds admitting a gradient-like flow with a prescribed non-wandering set. (Russian, English) Zbl 1438.37014 Mat. Tr. 21, No. 2, 163-180 (2018); translation in Sib. Adv. Math. 29, No. 2, 116-127 (2019). MSC: 37C15 37D15 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi On keen Heegaard splittings. (English) Zbl 1423.57039 Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 293-311 (2018). MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Colding, Tobias Holck; Gabai, David Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds. (English) Zbl 1403.57012 Duke Math. J. 167, No. 15, 2793-2832 (2018). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Liang, Liang; Li, Fengling; Lei, Fengchun; Wu, Jie Local uniqueness of certain geodesics related to Heegaard splittings. (English) Zbl 1418.57013 J. Knot Theory Ramifications 27, No. 9, Article ID 1842003, 9 p. (2018). Reviewer: Grant S. Lakeland (Charleston) MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Kun A note on proof of Gordon’s conjecture. (English) Zbl 1397.57038 Bull. Korean Math. Soc. 55, No. 3, 699-715 (2018). Reviewer: Qiang E (Dalian) MSC: 57N10 57M50 57M27 × Cite Format Result Cite Review PDF Full Text: Link
Liang, Liang; Li, Fengling; Li, Jingyan Reducible handle additions to weakly reducible Heegaard splittings. (English) Zbl 1392.57014 Topology Appl. 242, 33-42 (2018). Reviewer: Kun Du (Lanzhou) MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abrams, Aaron; Gay, David; Kirby, Robion Group trisections and smooth 4-manifolds. (English) Zbl 1404.57001 Geom. Topol. 22, No. 3, 1537-1545 (2018). Reviewer: Susumu Hirose (Noda) MSC: 57M05 20F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Liang; Li, Fengling; Lei, Fengchun On weakly keen Heegaard splittings with distance 2. (English) Zbl 1382.57011 Topology Appl. 237, 1-6 (2018). Reviewer: Kun Du (Lanzhou) MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Kun On unstabilized Heegaard splittings of amalgamated 3-manifolds. (English) Zbl 1383.57027 J. Knot Theory Ramifications 27, No. 1, Article ID 1850005, 11 p. (2018). Reviewer: Qiang E (Dalian) MSC: 57N10 57M27 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Ikeda, Toru Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces. (English) Zbl 1385.57010 J. Knot Theory Ramifications 27, No. 1, Article ID 1850004, 9 p. (2018). Reviewer: Hongbin Sun (Piscataway) MSC: 57M25 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Kozlovskaya, Tatyana Heegaard splittings of branched cyclic coverings of connected sums of lens spaces. (English) Zbl 1401.57002 Bull. Korean Math. Soc. 54, No. 5, 1851-1857 (2017). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M12 57M25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yan; Lei, Fengchun; Li, Fengling On \(\partial \)-reducible 3-manifolds which admit complete surface systems. (English) Zbl 1399.57004 Commun. Math. Res. 33, No. 3, 215-222 (2017). MSC: 57M27 57N10 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Yanqing The unstabilized canonical Heegaard splitting of a mapping torus. (English) Zbl 1383.57021 Algebr. Geom. Topol. 17, No. 6, 3435-3448 (2017). Reviewer: Kazuhiro Ichihara (Tokyo) MSC: 57M27 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Felikson, Anna; Natanzon, Sergey Double pants decompositions revisited. (English) Zbl 1375.57021 Mosc. Math. J. 17, No. 1, 51-58 (2017). MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Eudave-Muñoz, M.; Manjarrez-Gutiérrez, F.; Ramírez-Losada, E. Classification of genus two knots which admit a \((1,1)\)-decomposition. (English) Zbl 1394.57006 Topology Appl. 230, 468-489 (2017). Reviewer: Dieter Erle (Dortmund) MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Jungsoo On the group action of \(Mod(M,F)\) on the disk complex. (English) Zbl 1421.57024 Topology Appl. 230, 444-467 (2017). MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuxin; Leng, Jian; Wei, Yiting; Wang, Xiao Two classes of four-punctured sphere sum of complicated three manifolds. (Chinese. English summary) Zbl 1389.57003 J. Liaoning Norm. Univ., Nat. Sci. 39, No. 4, 458-461 (2016). MSC: 57M27 57M35 57N10 × Cite Format Result Cite Review PDF
Wang, Chao; Zhang, Yimu Alternating Heegaard diagrams and Williams solenoid attractors in 3-manifolds. (English) Zbl 1375.57029 Topol. Methods Nonlinear Anal. 47, No. 2, 769-798 (2016). Reviewer: Dieter Erle (Dortmund) MSC: 57N10 37C70 37D45 57M12 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gay, David T.; Kirby, Robion Trisecting 4-manifolds. (English) Zbl 1372.57033 Geom. Topol. 20, No. 6, 3097-3132 (2016). Reviewer: Ash Lightfoot (Moskow) MSC: 57M50 57M99 57R45 57R65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Fengling; Lei, Fengchun; Wu, Jie 3-Manifold invariants derived from the intersecting kernels. (English) Zbl 1357.57049 Int. J. Math. 27, No. 13, Article ID 1650109, 9 p. (2016). MSC: 57N10 57M27 57M05 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Liang; Lei, Fengchun; Li, Fengling Unstabilized self-amalgamation of a Heegaard splitting along disks. (English) Zbl 1363.57005 Commun. Math. Res. 32, No. 2, 117-121 (2016). MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Mossessian, George Stabilizing Heegaard splittings of high-distance knots. (English) Zbl 1420.57028 Algebr. Geom. Topol. 16, No. 6, 3419-3443 (2016). MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cristofori, Paola; Mulazzani, Michele Compact 3-manifolds via 4-colored graphs. (English) Zbl 1364.57011 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 395-416 (2016). Reviewer: Maria Rita Casali (Modena) MSC: 57M27 57N10 57M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lê, Thang T. Q.; Lescop, Christine; Lipshitz, Robert; Turner, Paul Lectures on quantum topology in dimension three. Lectures of the SMF school “Geometric and quantum topology in dimension 3”, CIRM, Luminy, France, June 2014. (English) Zbl 1360.57003 Panoramas et Synthèses 48. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-842-8/pbk). x, 174 p. (2016). Reviewer: Dieter Erle (Dortmund) MSC: 57-02 57M27 57-06 57M25 57N10 55N35 81T45 00B15 20F36 18G40 53C15 53D05 32Q60 20C30 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Sangbum; Koda, Yuya; Seo, Arim Arc complexes, sphere complexes, and Goeritz groups. (English) Zbl 1357.57048 Mich. Math. J. 65, No. 2, 333-351 (2016). Reviewer: Kimihiko Motegi (Tokyo) MSC: 57N10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Lubotzky, Alexander; Maher, Joseph; Wu, Conan Random methods in 3-manifold theory. (English) Zbl 1354.57026 Proc. Steklov Inst. Math. 292, 118-142 (2016) and Tr. Mat. Inst. Steklova 292, 124-148 (2016). Reviewer: Viktor Ohanyan (Erevan) MSC: 57M50 57M25 57N10 37E30 60B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Kun Unstabilized dual Heegaard splittings of 3-manifolds. (English) Zbl 1419.57023 J. Knot Theory Ramifications 25, No. 6, Article ID 1650032, 16 p. (2016). MSC: 57M27 57M50 57N10 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Kun Unstabilized and uncritical dual Heegaard splitting of product \(I\)-bundle. (English) Zbl 1337.57052 Topology Appl. 204, 266-277 (2016). MSC: 57N10 57M27 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Hoffoss, Diane; Maher, Joseph Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds. (English) Zbl 1335.57027 Pac. J. Math. 281, No. 1, 83-102 (2016). Reviewer: Thilo Kuessner (Seoul) MSC: 57M50 57N16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohshika, Ken’ichi; Sakuma, Makoto Subgroups of mapping class groups related to Heegaard splittings and bridge decompositions. (English) Zbl 1334.57016 Geom. Dedicata 180, 117-134 (2016). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morimoto, Kanji On Heegaard splittings of knot exteriors with tunnel number degenerations. (English) Zbl 1342.57009 Topology Appl. 196, Part B, 719-728 (2015). Reviewer: Mario Eudave-Muñoz (México D. F.) MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Sangbum; Koda, Yuya Disk complexes and genus two Heegaard splittings for nonprime 3-manifolds. (English) Zbl 1322.57017 Int. Math. Res. Not. 2015, No. 12, 4344-4371 (2015). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ido, Ayako An estimate of Hempel distance for bridge spheres. (English) Zbl 1319.57012 Bull. Korean Math. Soc. 52, No. 3, 735-740 (2015). MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tao Heegaard splittings of 3-manifolds. (English) Zbl 1373.57040 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 1245-1257 (2014). MSC: 57N10 57M50 57M25 × Cite Format Result Cite Review PDF
Lee, Jung Hoon On the connectedness of subcomplexes of a disk complex. (English) Zbl 1321.57018 J. Knot Theory Ramifications 23, No. 11, Article ID 1450063, 13 p. (2014). Reviewer: Sangbum Cho (Seoul) MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takao, Kazuto Lips and swallow-tails of singularities of product maps. (English) Zbl 1306.57020 J. Singul. 10, 286-295 (2014). Reviewer: Dorin Andrica (Riyadh) MSC: 57R45 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eudave-Muñoz, Mario; Ozawa, Makoto Composite tunnel number one genus two handlebody-knots. (English) Zbl 1419.57013 Bol. Soc. Mat. Mex., III. Ser. 20, No. 2, 375-390 (2014). MSC: 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Sangbum; Koda, Yuya The genus two Goeritz group of \(\mathbb{S}^2 \times \mathbb{S}^1\). (English) Zbl 1321.57023 Math. Res. Lett. 21, No. 3, 449-460 (2014). Reviewer: Ji-Young Ham (Seoul) MSC: 57N10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Liang; Lei, Fengchun; Li, Fengling A sufficient condition for a self-amalgamation of a Heegaard splitting to be unstabilized. (English) Zbl 1302.57059 Topology Appl. 178, 345-351 (2014). MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuxin; Ni, Nan The pants sum of high distance Heegaard splittings. (English) Zbl 1313.57006 J. Math. Res. Appl. 34, No. 2, 216-222 (2014). MSC: 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Yanqing; Guo, Qilong; Qiu, Ruifeng The \(\partial\)-stabilization of a Heegaard splitting with distance at least 6 is unstabilized. (English) Zbl 1297.57034 Chin. Ann. Math., Ser. B 35, No. 4, 557-562 (2014). MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI
Laudenbach, François A proof of Reidemeister-Singer’s theorem by Cerf’s methods. (English. French summary) Zbl 1322.57020 Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 1, 197-221 (2014). Reviewer: Yuli Rudyak (Gainesville) MSC: 57R19 57M50 57N10 57N37 57R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jang, Yeonhee Distance of bridge surfaces for links with essential meridional spheres. (English) Zbl 1295.57009 Pac. J. Math. 267, No. 1, 121-130 (2014). Reviewer: Hernando Burgos-Soto (Toronto) MSC: 57M25 × Cite Format Result Cite Review PDF Full Text: DOI
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi Heegaard splittings of distance exactly \(n\). (English) Zbl 1297.57029 Algebr. Geom. Topol. 14, No. 3, 1395-1411 (2014). Reviewer: Hiroshi Goda (Tokyo) MSC: 57M27 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charitos, Charalampos; Papadoperakis, Ioannis; Tsapogas, Georgios On the mapping class group of a Heegaard splitting. (English) Zbl 1305.57035 Glasg. Math. J. 56, No. 1, 93-101 (2014). Reviewer: Sangbum Cho (Seoul) MSC: 57N10 57N35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tao Small 3-manifolds with large Heegaard distance. (English) Zbl 1300.57021 Math. Proc. Camb. Philos. Soc. 155, No. 3, 431-441 (2013). Reviewer: Leonid Plachta (Kraków) MSC: 57N10 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Xutao; Guo, Qilong The unstabilized amalgamations of Heegaard splittings along disconnected surfaces. (English) Zbl 1299.57009 J. Math. Res. Appl. 33, No. 4, 475-482 (2013). MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI
E, Qiang; Lei, Fengchun; Li, Fengling An alternative proof of Lickorish-Wallace theorem. (English) Zbl 1297.57009 Topology Appl. 160, No. 13, 1611-1615 (2013). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57M25 57R65 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Sangbum Genus-two Goeritz groups of lens spaces. (English) Zbl 1290.57026 Pac. J. Math. 265, No. 1, 1-16 (2013). Reviewer: Maria Rita Casali (Modena) MSC: 57N10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Jesse; McCullough, Darryl The space of Heegaard splittings. (English) Zbl 1281.57008 J. Reine Angew. Math. 679, 155-179 (2013). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57M50 57N10 58D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, Sangbum; McCullough, Darryl Iterated splitting and the classification of knot tunnels. (English) Zbl 1270.57019 J. Math. Soc. Japan 65, No. 2, 671-686 (2013). MSC: 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Johnson, Jesse; Rubinstein, Hyam Mapping class groups of Heegaard splittings. (English) Zbl 1278.57029 J. Knot Theory Ramifications 22, No. 5, ID 1350018, 20 p. (2013). Reviewer: Chuichiro Hayashi (Tokyo) MSC: 57N10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masur, Howard; Schleimer, Saul The geometry of the disk complex. (English) Zbl 1272.57015 J. Am. Math. Soc. 26, No. 1, 1-62 (2013). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv