Differential geometry of the space of orbits of a Coxeter group

Abstract

Differential-geometric structures on the space of orbits of a finite Coxeter group, determined by Grothéndieck residues, are calculated. This gives a construction of a 2D topological field theory for an arbitrary Coxeter group.

arXiv comment30 pages, plain TeX, SISSA-29/93/FM

References in corpus (1)

• Topological Field Theory and Rational Curves

Cited by in corpus (19)

• Compatible Poisson brackets of hydrodynamic type
• Flat pencils of metrics and Frobenius manifolds
• On classification and construction of algebraic Frobenius manifolds
• Multiplication on the tangent bundle
• Frobenius manifolds from regular classical $W$-algebras
• Flat Bases of Invariant Polynomials and P-matrices of E7 and E8
• A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of $B_n$
• Hurwitz numbers for reflection groups II: Parabolic quasi-Coxeter elements
• Mirror symmetry for extended affine Weyl groups
• Coxeter discriminants and logarithmic Frobenius structures
• The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group $A_1$
• Compatible and Almost Compatible Pseudo-Riemannian Metrics
• Poisson pencils: reduction, exactness, and invariants
• Five-dimensional gauge theories and the local B-model
• Quantum $D_4$ Drinfeld-Sokolov hierarchy and quantum singularity theory
• Weyl invariant $E_8$ Jacobi forms
• A Class of Infinite-dimensional Frobenius Manifolds and Their Submanifolds
• Open Saito theory for $A$ and $D$ singularities
• Unfolding of singularities and differential equations