Criteria for the height of an atom

DOI10.3103/S0027132220030079zbMath1468.37021MaRDI QIDQ2027861

V. A. Trifonova

Publication date: 28 May 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

atomintersection graphchord diagrams\(f\)-graphheight atom

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

One more proof of Vassiliev’s conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximally symmetric height atoms
• A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds
• Topological invariants of Liouville integrable Hamiltonian systems
• Circle graph obstructions
• Partially symmetric height atoms
• Height atoms whose symmetry groups act transitively on their vertex sets
• Mutant knots and intersection graphs
• A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
• The symplectic topology of completely integrable Hamiltonian systems
• THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
• A BORDISM THEORY FOR INTEGRABLE NONDEGENERATE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM. A NEW TOPOLOGICAL INVARIANT OF HIGHER-DIMENSIONAL INTEGRABLE SYSTEMS
• THE INTERSECTION GRAPH CONJECTURE FOR LOOP DIAGRAMS
• Virtual Knots
• Bifurcations, atoms and knots

This page was built for publication: Criteria for the height of an atom