Liang, Liang; Li, Fengling; Lei, Fengchun Unstabilized and uncritical self-amalgamation along essential subsurfaces. (English) Zbl 1422.57055 Sci. China, Math. 62, No. 9, 1807-1812 (2019). MSC: 57N10 57M50 PDF BibTeX XML Cite \textit{L. Liang} et al., Sci. China, Math. 62, No. 9, 1807--1812 (2019; Zbl 1422.57055) Full Text: DOI
Du, Kun A note on bicompressible surface and unstabilized amalgamated Heegaard splitting. (English) Zbl 1411.57026 Topology Appl. 251, 82-93 (2019). Reviewer: Toshio Saito (Joetsu) MSC: 57M27 57M50 57N10 PDF BibTeX XML Cite \textit{K. Du}, Topology Appl. 251, 82--93 (2019; Zbl 1411.57026) 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 PDF BibTeX XML Cite \textit{K. Du}, Bull. Korean Math. Soc. 55, No. 3, 699--715 (2018; Zbl 1397.57038) Full Text: Link
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 PDF BibTeX XML Cite \textit{K. Du}, J. Knot Theory Ramifications 27, No. 1, Article ID 1850005, 11 p. (2018; Zbl 1383.57027) Full Text: DOI
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
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
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 PDF BibTeX XML Cite \textit{K. Du}, J. Knot Theory Ramifications 25, No. 6, Article ID 1650032, 16 p. (2016; Zbl 1419.57023) 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 PDF BibTeX XML Cite \textit{K. Du}, Topology Appl. 204, 266--277 (2016; Zbl 1337.57052) Full Text: DOI
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
Guo, Qilong; Zou, Yanqing A note on the planar surface sum of Heegaard splittings. (English) Zbl 1337.57054 Topology Appl. 204, 8-14 (2016). MSC: 57N10 57M27 PDF BibTeX XML Cite \textit{Q. Guo} and \textit{Y. Zou}, Topology Appl. 204, 8--14 (2016; Zbl 1337.57054) Full Text: DOI
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
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 PDF BibTeX XML Cite \textit{L. Liang} et al., Topology Appl. 178, 345--351 (2014; Zbl 1302.57059) Full Text: DOI
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
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
Kobayashi, Tsuyoshi; Saito, Toshio Destabilizing Heegaard splittings of knot exteriors. (English) Zbl 1186.57016 Topology Appl. 157, No. 1, 202-212 (2010). Reviewer: Alberto Cavicchioli (Modena) MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{T. Kobayashi} and \textit{T. Saito}, Topology Appl. 157, No. 1, 202--212 (2010; Zbl 1186.57016) Full Text: DOI