Totally geodesic surfaces and quadratic forms

Let M be a compact, connected, irreducible, orientable 3-manifold with torus boundary. A closed, orientable, immersed, incompressible surface F in M with no incompressible annulus joining F and ∂M compresses in at most finitely many Dehn fillings M(α). It is known that there is no universal upper bo...

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Main Author:	Pradthana Jaipong
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888213662&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52735
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-527352018-09-04T09:31:17Z Totally geodesic surfaces and quadratic forms Pradthana Jaipong Mathematics Let M be a compact, connected, irreducible, orientable 3-manifold with torus boundary. A closed, orientable, immersed, incompressible surface F in M with no incompressible annulus joining F and ∂M compresses in at most finitely many Dehn fillings M(α). It is known that there is no universal upper bound on the number of such fillings, independent of the surface, and the figure-eight knot complement is the first example of a manifold where this phenomenon occurs. In this paper, we show that the same behavior of the figure-eight knot complement is shared by other two cusped manifolds. © 2013 World Scientific Publishing Company. 2018-09-04T09:31:17Z 2018-09-04T09:31:17Z 2013-11-01 Journal 02182165 2-s2.0-84888213662 10.1142/S0218216513500727 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888213662&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52735
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Pradthana Jaipong Totally geodesic surfaces and quadratic forms
description	Let M be a compact, connected, irreducible, orientable 3-manifold with torus boundary. A closed, orientable, immersed, incompressible surface F in M with no incompressible annulus joining F and ∂M compresses in at most finitely many Dehn fillings M(α). It is known that there is no universal upper bound on the number of such fillings, independent of the surface, and the figure-eight knot complement is the first example of a manifold where this phenomenon occurs. In this paper, we show that the same behavior of the figure-eight knot complement is shared by other two cusped manifolds. © 2013 World Scientific Publishing Company.
format	Journal
author	Pradthana Jaipong
author_facet	Pradthana Jaipong
author_sort	Pradthana Jaipong
title	Totally geodesic surfaces and quadratic forms
title_short	Totally geodesic surfaces and quadratic forms
title_full	Totally geodesic surfaces and quadratic forms
title_fullStr	Totally geodesic surfaces and quadratic forms
title_full_unstemmed	Totally geodesic surfaces and quadratic forms
title_sort	totally geodesic surfaces and quadratic forms
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888213662&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52735
_version_	1681424005423169536

Totally geodesic surfaces and quadratic forms

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