Cover

Frontispiece

Title page

Copyright page

Contents

Preface

On the geometry of caustics

Lagrangian embeddings and Lagrangian cobordism

Polynomial invariants of Legendrian links and plane fronts

Solutions of the elliptic qKZB equations and Bethe ansatz I

Singular deformations of Lie algebras. Example: Deformations of the Lie algebra 𝐿₁

On imaginary plane curves and spin quotients of complex surfaces by complex conjugation

Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture

On a problem of B. Teissier

Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams

Topological invariants of fiber singularities

Informal complexification and Poisson structures on moduli spaces

Consistent partitions of polytopes and polynomial measures

On primitive elements in the bialgebra of chord diagrams

Spaces of meromorphic functions on Riemann surfaces

Hamiltonian loops and Arnold’s principle

Singularities in the presence of symmetries

Discrete versions of the four-vertex theorem

Excitation of elliptic normal modes of invariant tori in Hamiltonian systems

Ramified coverings of 𝑆² with one degenerate branching point and enumeration of edge-ordered graphs

On zeros of the Schwarzian derivative

Stratified Picard-Lefschetz theory with twisted coefficients

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