An algorithm to find vertical tori in small Seifert fiber spaces

In this paper we develop a method which may be used to compute the Chern-Simons invariants of a large class of representations on a large class of manifolds. This class includes all representations on all Seifert fiber spaces, all graph manifolds, and some hyperbolic manifolds. I owe many thanks to Peter Scott, John Harer, Frank Raymond, Ron Fintushel, Paul Kirk and Eric Klassen, without whose help and support this paper could not have been written.

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Some Seifert fiber spaces which are boundaries.

10.1307/mmj/1029003353 ◽

1986 ◽

Vol 33 (2) ◽

pp. 245-251 ◽

Cited By ~ 1

Author(s):

Kyung Bai Lee ◽

Frank Raymond

Keyword(s):

Seifert Fiber Spaces

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COMBINATORIAL CALCULATION OF THE VARIOUS NORMALIZATIONS OF THE WITTEN INVARIANTS FOR 3-MANIFOLDS

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216592000215 ◽

1992 ◽

Vol 01 (04) ◽

pp. 407-449 ◽

Cited By ~ 6

Author(s):

JOHN R. NEIL

Keyword(s):

Witten Invariant ◽

Combinatorial Approach ◽

Seifert Fiber Spaces

Polynomial formulae for the Witten invariant of 3-manifolds for manifolds which bound plumbed 4-manifolds are developed via the combinatorial approach of Lickorish. A number of tables of calculations of the various normalizations of this invariant are presented for a variety of Seifert fiber spaces over S2.

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$3$-manifolds that are sums of solid tori and Seifert fiber spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1973-0356055-x ◽

1973 ◽

Vol 37 (2) ◽

pp. 609-609

Author(s):

Wolfgang Heil

Keyword(s):

Seifert Fiber Spaces

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