Aceto, Paolo and Golla, Marco and Larson, Kyle (2017) Embedding 3manifolds in spin 4manifolds. JOURNAL OF TOPOLOGY, 10 (2). pp. 301323. ISSN 17538416

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Abstract
An invariant of orientable 3manifolds is defined by taking the minimum n such that a given 3manifold embeds in the connected sum of n copies of S2 ×S2, and we call this n the embedding number of the 3manifold. We give some general properties of this invariant, and make calculations for families of lens spaces and Brieskorn spheres. We show how to construct rational and integral homology spheres whose embedding numbers grow arbitrarily large, and which can be calculated exactly if we assume the 11/8Conjecture. In a different direction we show that any simply connected 4manifold can be split along a rational homology sphere into a positive definite piece and a negative definite piece. © 2017 London Mathematical Society.
Item Type:  Article 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  05 Apr 2018 13:27 
Last Modified:  05 Apr 2018 13:27 
URI:  http://real.mtak.hu/id/eprint/79001 
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