Mutant knots and intersection graphs

By Sergei Chmutov, Sergei K. Lando. 2007

58 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5bbdb0f11e4d592cf5486531331631dfc11988de

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. J. Bloom
2. Christopher Scaduto
3. John A. Baldwin

In Mathematical Physics

1. J. Bloom
2. Christopher Scaduto
3. John A. Baldwin

Citations in the corpus

• A link surgery spectral sequence in monopole Floer homology (2009, background): “ deep structure theorem in graph theory due to W. H. Cunningham implies that Aalone determines the mutation equivalence class of L, the framed isotopy type of L, and therefore Eifor all i1 (see [3], [7], and Remark 9.3). Figure 1. Resolution and arc-linking conventions for the signature formula. 1.2”
• Odd Khovanov homology is mutation invariant (2009, methodology): “The converse follows from a theorem of Chmutov and Lando [6]: Chord diagrams have the same intersection graph if and only if they are related by mutation.”