Geometrical spines of lens manifolds

Journal of the London Mathematical Society

Volumn 74, Issue 3, 2006, Pages 799-816

  Anisov, S ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846108314     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/S0024610706023246     Document Type: Article

References (15)

1. S. ANISOV, 'Toward lower bounds for complexity of 3-manifolds: a program', Preprint, 2001, math:GT/0103169.
2. 4', in preparation.
3. I. BOGAEVSKY, 'Perestroikas of shocks and singularities of minimum functions'. Phys. D 173 (2002) 1-28.
4. M. BUCHNER, 'The structure of the cut locus in dimension less than or equal to six', Compositia Math. 37 (1978) 103-119.
5. A. FOMENKO and S. MATVEEV, Algorithmic and computer methods in three-dimensional topology (Russian), Algorithmic and computer methods for three-manifolds (English), Mathematics and its Applications 425 (Kluwer Academic, Dordrecht. 1997; Moskov. Gos. Univ., Moscow. 1991).
6. SH. KOBAYASI and K. NOMIZU, Foundations of differential geometry, vol. II, Interscience Tracts in Pure and Applied Mathematics 15 (Interscience. New York, 1969).
7. B. MARTELLI and C. PETRONIO, 'Complexity of geometric three-manifolds and Dehn surgery on the three-rings chain-link', Preprint, 2002. math:GT/0204228, version 1, at the Web page http://de.arxiv.org/abs/math.GT/0204228v1?front.
8. S. MATVEEV, 'Complexity theory of three-dimensional manifolds', Acta Appl. Math. 19 (1990) 101-130.
9. S. MATVEEV, 'Tables of 3-manifolds up to complexity 6', Preprint, MPI 1998-67, Max Planck Institute (.dvi and,ps files are available through http://www, mpim-bonn.mpg.de/html/preprints/preprints.html).
10. F. PREPARATA and M. SHAMOS, Computational geometry. An introduction, Texts and Monographs in Computer Science (Springer. New York, 1985).
11. C. SERIES, 'The modular surface and continued fractions', J. London Math. Soc. (2) 31 (1985) 69-80.
12. J.-P. SERRE, Cours d'arithmétique. Collection SUP: 'Le Mathématicien' 2 (Presses Universitaires de France, Paris, 1977) (French): A course in arithmetic, Graduate Texts in Mathematics 7 (Springer. New York, 1973) (English).
13. D. SLEATOR. R. TAHJAN, and W. THURSTON, 'Rotation distance, triangulations, and hyperbolic geometry', J. Amer. Math. Soc. 1 (1988) 647-681.
14. I. VINOGRADOV. Foundations of number theory (Nauka. Moscow, 1981) (Russian): An introduction to the theory of numbers (Perganion Press, London. 1955) (English).
15. G. VORONOI, 'Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire. Recherches sur les parallélloèdres primitifs,' J. reine angew. Math. 136 (1909) 198-287 (in French).