Journal article
Additive invariants for knots, links and graphs in 3-manifolds
Geometry & topology, Vol.22(6), pp.3235-3286
01/01/2018
DOI: 10.2140/gt.2018.22.3235
Abstract
We define two new families of invariants for (3-manifold, graph) pairs which detect the unknot and are additive under connected sum of pairs and (-1/2) additive under trivalent vertex sum of pairs. The first of these families is closely related to both bridge number and tunnel number. The second of these families is a variation and generalization of Gabai's width for knots in the 3-sphere. We give applications to the tunnel number and higher-genus bridge number of connected sums of knots.
Details
- Title: Subtitle
- Additive invariants for knots, links and graphs in 3-manifolds
- Creators
- Scott A Taylor - Colby CollegeMaggy Tomova - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Geometry & topology, Vol.22(6), pp.3235-3286
- DOI
- 10.2140/gt.2018.22.3235
- ISSN
- 1465-3060
- eISSN
- 1364-0380
- Publisher
- GEOMETRY & TOPOLOGY PUBLICATIONS
- Number of pages
- 52
- Grant note
- NSF Colby College Division of Natural Sciences
- Language
- English
- Date published
- 01/01/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984241153102771
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