Riemann-Roch for toric orbifolds

DOI10.4310/jdg/1214459754zbMath0932.37039OpenAlexW1482232916WikidataQ115175967 ScholiaQ115175967MaRDI QIDQ1359239

Victor W. Guillemin

Publication date: 8 March 2000

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214459754

zbMATH Keywords

symplectic orbifoldsdifferential operators of infinite orderKawasaki-Riemann-Roch numbers

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Characteristic Classes of Singular Toric Varieties, Exact Euler-Maclaurin formulas for simple lattice polytopes, New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes, Residue formulae for vector partitions and Euler-Maclaurin sums., Equivariant inverse spectral theory and toric orbifolds, Residue formulae, vector partition functions and lattice points in rational polytopes, Riemann sums over polytopes, Random polynomials with prescribed Newton polytope, The index of the spin\(^c\) Dirac operator on the weighted projective space and the reciprocity law of the Fourier-Dedekind sum, The Frobenius problem, rational polytopes, and Fourier-Dedekind sums, Euler-Maclaurin with remainder for a simple integral polytope, Values of zeta functions at negative integers, Dedekind sums and toric geometry, Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group