Author： Koda Yuya
Publisher： Springer Publishing Company
ISSN： 0025-2611
Source： manuscripta mathematica, Vol.123, Iss.3, 2007-07, pp. : 285-299
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Abstract
We prove that an invariant of closed 3-manifolds, called the block number, which is defined via flow-spines, equals the Heegaard genus, except for S 3 and S 2 × S 1. We also show that the underlying 3-manifold is uniquely determined by a neighborhood of the singularity of a flow-spine. This allows us to encode a closed 3-manifold by a sequence of signed labeled symbols. The behavior of the encoding under the connected sum and a criterion for reducibility are studied.
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