Celebratio Mathematica

M. G. Scharlemann: A fake homotopy structure on \( S^3\times S^1\mathbin{\#} S^1\times S^2 \) and a structure theorem for five-manifolds. Ph.D. thesis, University of California, Berkeley, 1974. Advised by R. Kirby. MR 2940416 phdthesis

R. C. Kirby and M. G. Scharlemann: “A curious category which equals TOP,” pp. 93–97 in Manifolds—Tokyo 1973. Edited by A. Hattori. Univ. Tokyo Press (Tokyo), 1975. MR 0372868 Zbl 0315.57003

Akio Hattori	Related
Robion C. Kirby	Related	Volume

R. C. Kirby and M. G. Scharlemann: “Eight faces of the Poincaré homology 3-sphere,” pp. 113–146 in Geometric topology (Athens, GA, 1977). Edited by J. C. Cantrell. Academic Press (New York), 1979. MR 537730 Zbl 0469.57006

James Cecil Cantrell	Related
Robion C. Kirby	Related	Volume

R. C. Kirby and M. G. Scharlemann: “Eight faces of the Poincaré homology 3-sphere,” Uspekhi Mat. Nauk 37 : 5(227) (1982), pp. 139–159. MR 676615 Zbl 0511.57008

H. Rubinstein and M. Scharlemann: “Genus two Heegaard splittings of orientable three-manifolds,” pp. 489–553 in Proceedings of the KirbyFest (Berkeley, CA, 22–26 June 1998). Edited by J. Hass and M. Scharlemann. Geometry & Topology Monographs 2. International Press (Cambridge, MA), 1999. Papers dedicated to Rob Kirby on the occasion of his 60th birthday. MR 1734422 Zbl 0962.57013 ArXiv 9712262 incollection

It was shown by Bonahon–Otal and Hodgson–Rubinstein that any two genus-one Heegaard splittings of the same 3-manifold (typically a lens space) are isotopic. On the other hand, it was shown by Boileau, Collins and Zieschang that certain Seifert manifolds have distinct genus-two Heegaard splittings. In an earlier paper, we presented a technique for comparing Heegaard splittings of the same manifold and, using this technique, derived the uniqueness theorem for lens space splittings as a simple corollary. Here we use a similar technique to examine, in general, ways in which two non-isotopic genus-two Heegard splittings of the same 3-manifold compare, with a particular focus on how the corresponding hyperelliptic involutions are related

J. Hyam Rubinstein	Related	Volume
Joel Hass	Related
Robion C. Kirby	Related	Volume

D. Cooper and M. Scharlemann: “The structure of a solvmanifold’s Heegaard splittings,” pp. 1–18 in Proceedings of 6th Gökova geometry-topology conference (Gökova, Turkey, 25–29 May 1998), published as Turkish J. Math. 23 : 1. Issue edited by S. Akbulut, T. Önder, and R. J. Stern. Scientific and Technical Research Council of Turkey (Ankara), 1999. Dedicated to Rob Kirby on the occasion of his 60th birthday. MR 1701636 Zbl 0948.57015 incollection

Turgut Önder	Related
Robion C. Kirby	Related	Volume
Selman Akbulut	Related
Daryl Cooper	Related
Ronald John Stern	Related

year	title	people

			clear

Martin Scharlemann

Complete Bibliography

Works connected to Robion C. Kirby

Filter the Bibliography List