On finiteness of the number of boundary slopes of immersed surfaces in 3manifolds
Authors:
Joel Hass, Shicheng Wang and Qing Zhou
Journal:
Proc. Amer. Math. Soc. 130 (2002), 18511857
MSC (1991):
Primary 57N10; Secondary 57M50, 53A10
Published electronically:
October 23, 2001
MathSciNet review:
1887034
Fulltext PDF Free Access
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Abstract: For any hyperbolic 3manifold with totally geodesic boundary, there are finitely many boundary slopes for essential immersed surfaces of a given genus. There is a uniform bound for the number of such boundary slopes if the genus of is bounded from above.
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Additional Information
Joel Hass
Affiliation:
Department of Mathematics, University of California, Davis, California 95616
Email:
hass@math.ucdavis.edu
Shicheng Wang
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, People’s Republic of China
Email:
swang@sxx0.math.pku.edu.cn
Qing Zhou
Affiliation:
Department of Mathematics, East China Normal University, Shanghai, 200062, People’s Republic of China
Email:
qzhou@euler.math.ecnu.edu.cn
DOI:
http://dx.doi.org/10.1090/S0002993901062621
PII:
S 00029939(01)062621
Keywords:
Boundary slopes,
threedimensional topology,
essential surfaces
Received by editor(s):
September 2, 1999
Received by editor(s) in revised form:
December 28, 2000
Published electronically:
October 23, 2001
Additional Notes:
The first author was partially supported by NSF grant DMS9704286.
The second and third authors were partially supported by MSTC and Outstanding Youth Fellowships of NSFC
Communicated by:
Ronald A. Fintushel
Article copyright:
© Copyright 2001 American Mathematical Society
