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math-ph2009
Tangent unit-vector fields: nonabelian homotopy invariants and the Dirichlet energy
A. Majumdar, J. M. Robbins, M. Zyskin
Let O be a closed geodesic polygon in S^2. Maps from O into S^2 are said to satisfy tangent boundary conditions if the edges of O are mapped into the geodesics which contain them.…
math-ph2004
The Maslov index and nondegenerate singularities of integrable systems
JA Foxman, JM Robbins
We consider integrable Hamiltonian systems in R^{2n} with integrals of motion F = (F_1,...,F_n) in involution. Nondegenerate singularities are critical points of F where rank dF =…