# Dehn filling: A survey

Banach Center Publications (1998)

- Volume: 42, Issue: 1, page 129-144
- ISSN: 0137-6934

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topGordon, C.. "Dehn filling: A survey." Banach Center Publications 42.1 (1998): 129-144. <http://eudml.org/doc/208801>.

@article{Gordon1998,

abstract = {In this paper we give a brief survey of the present state of knowledge on exceptional Dehn fillings on 3-manifolds with torus boundary. For our discussion, it is necessary to first give a quick overview of what is presently known, and what is conjectured, about the structure of 3-manifolds. This is done in Section 2. In Section 3 we summarize the known bounds on the distances between various kinds of exceptional Dehn fillings, and compare these with the distances that arise in known examples. In Section 4 we make some remarks on the special case of complements of knots in the 3-sphere. We have chosen to phrase questions as conjectures; this gives them a certain edge and perhaps increases the likelihood that someone will try to (dis)prove them. Incidentally, no particular claim is made for unattributed conjectures; most of them are lore to the appropriate folk. Related survey articles are [Go1] and [Lu]. I would like to thank Pat Callahan, Craig Hodgson, John Luecke, Alan Reid and Eric Sedgwick for helpful conversations, and the referee for his useful comments.},

author = {Gordon, C.},

journal = {Banach Center Publications},

keywords = {Dehn filling; 3-manifold},

language = {eng},

number = {1},

pages = {129-144},

title = {Dehn filling: A survey},

url = {http://eudml.org/doc/208801},

volume = {42},

year = {1998},

}

TY - JOUR

AU - Gordon, C.

TI - Dehn filling: A survey

JO - Banach Center Publications

PY - 1998

VL - 42

IS - 1

SP - 129

EP - 144

AB - In this paper we give a brief survey of the present state of knowledge on exceptional Dehn fillings on 3-manifolds with torus boundary. For our discussion, it is necessary to first give a quick overview of what is presently known, and what is conjectured, about the structure of 3-manifolds. This is done in Section 2. In Section 3 we summarize the known bounds on the distances between various kinds of exceptional Dehn fillings, and compare these with the distances that arise in known examples. In Section 4 we make some remarks on the special case of complements of knots in the 3-sphere. We have chosen to phrase questions as conjectures; this gives them a certain edge and perhaps increases the likelihood that someone will try to (dis)prove them. Incidentally, no particular claim is made for unattributed conjectures; most of them are lore to the appropriate folk. Related survey articles are [Go1] and [Lu]. I would like to thank Pat Callahan, Craig Hodgson, John Luecke, Alan Reid and Eric Sedgwick for helpful conversations, and the referee for his useful comments.

LA - eng

KW - Dehn filling; 3-manifold

UR - http://eudml.org/doc/208801

ER -

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