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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th-cmuir.6653943832-475202018-04-25T08:40:58Z Totally geodesic surfaces and quadratic forms Pradthana Jaipong 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. 2018-04-25T08:40:58Z 2018-04-25T08:40:58Z 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/6653943832/47520 |
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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 |
| spellingShingle |
Pradthana Jaipong Totally geodesic surfaces and quadratic forms |
| 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 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888213662&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47520 |
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