Morsifications and mutations
From MaRDI portal
Publication:6133944
DOI10.1112/jlms.12566zbMath1520.13037arXiv1711.10598MaRDI QIDQ6133944
Eugenii I. Shustin, Dylan P. Thurston, Fomin, Sergey, Pavlo Pylyavskyy
Publication date: 21 August 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.10598
Braid groups; Artin groups (20F36) Representations of quivers and partially ordered sets (16G20) Topological invariants on manifolds (58K65) Cluster algebras (13F60) Knot theory (57K10)
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Cites Work
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- Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
- Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel
- Double-dimers, the Ising model and the hexahedron recurrence
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Strongly invertible links and divides
- Intersection matrices for certain singularities of functions of two variables
- Dynkin diagrams for singularities of functions of two variables
- Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
- Bifurcations, Dynkin diagrams, and modality of isolated singularities
- Infinitely many fibred knots having the same Alexander polynomial
- Twisted knot polynomials: inversion, mutation and concordance
- Stein \(4\)-manifolds with boundary and contact structures
- Plumbing constructions of connected divides and the Milnor fibers of plane curve singularities
- Monodromy of real isolated singularities.
- Cluster algebras. II: Finite type classification
- Real deformations and complex topology of plane curve singularities
- Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves
- Generic immersions of curves, knots, monodromy and Gordian number
- Visualization of A'Campo's fibered links and unknotting operation
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- Algebraic functions and closed braids
- Links of oriented divides and fibrations in link exteriors
- Quasipositivity of links of divides and free divides
- Links associated with generic immersions of graphs
- On a certain type of Coxeter-Dynkin diagrams of plane curve singularities
- Cluster varieties from Legendrian knots
- Essential cycles in graph divides as a link representation
- Quasi-positivité d'une courbe analytique dans une boule pseudo-convexe
- Cluster algebras I: Foundations
- A categorification of Grassmannian cluster algebras
- Cluster algebras: an introduction
- Fibered Transverse Knots and the Bennequin Bound
- Quasipositivity as an obstruction to sliceness
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- Counting cluster-tilted algebras of type $A_n$
- Braids and the Jones Polynomial
- QUASIPOSITIVE ANNULI (CONSTRUCTIONS OF QUASIPOSITIVE KNOTS AND LINKS, IV)
- The Invariance of Milnor's Number Implies the Invariance of the Topological Type
- THE MONODROMY GROUPS OF ISOLATED SINGULARITIES OF HYPERSURFACES
- Singularities and Plane Maps II: Sketching Catastrophes
- Quasipositive plumbing (constructions of quasipositive knots and links, V)
- ORIENTED DIVIDES AND PLANE CURVE BRAIDS
- MARKOV THEOREM FOR TRANSVERSAL LINKS
- REPRESENTATIVE BRAIDS FOR LINKS ASSOCIATED TO PLANE IMMERSED CURVES
- Morsifications of real plane curve singularities
- Oriented Matroids
- Diagrams of divide links
- Mutant Knots
- Topology of Hypersurface Singularities
- Braid Groups
- Introduction to Singularities and Deformations
- Singular Points of Complex Hypersurfaces. (AM-61)
- A combinatorial property of generic immersions of curves