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June 2013 Homology Cylinders and Sutured Manifolds for Homologically Fibered Knots
Hiroshi GODA, Takuya SAKASAI
Tokyo J. Math. 36(1): 85-111 (June 2013). DOI: 10.3836/tjm/1374497513


Sutured manifolds defined by Gabai are useful in the geometrical study of knots and 3-dimensional manifolds. On the other hand, homology cylinders are in an important position in the recent theory of homology cobordisms of surfaces and finite-type invariants. We study a relationship between them by focusing on sutured manifolds associated with a special class of knots which we call {\it homologically fibered knots}. Then we use invariants of homology cylinders to give applications to knot theory such as fibering obstructions, Reidemeister torsions and handle numbers of homologically fibered knots.


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Hiroshi GODA. Takuya SAKASAI. "Homology Cylinders and Sutured Manifolds for Homologically Fibered Knots." Tokyo J. Math. 36 (1) 85 - 111, June 2013.


Published: June 2013
First available in Project Euclid: 22 July 2013

zbMATH: 1287.57022
MathSciNet: MR3112377
Digital Object Identifier: 10.3836/tjm/1374497513

Primary: 57M27
Secondary: 57M05 , 57M25

Rights: Copyright © 2013 Publication Committee for the Tokyo Journal of Mathematics


Vol.36 • No. 1 • June 2013
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