The Verlinde traces for \(SU_X(2,\xi )\) and blow-ups

DOI10.1007/s11784-023-01046-yarXiv2001.01048OpenAlexW4377292342MaRDI QIDQ6171181

Israel Moreno-Mejía, Dan Silva-López

Publication date: 17 July 2023

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01048

zbMATH Keywords

Riemann surfacestrace formulaalgebraic curvesVerlinde formulamoduli of rank \(r\) bundles

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Index theory (19K56) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The trace of an automorphism on \(H^0(J,\mathcal O(n \Theta))\)
• Fusion rules and modular transformations in 2D conformal field theory
• Lefschetz-Riemann-Roch for singular varieties
• On quantum gauge theories in two dimensions
• Hilbert polynomials of moduli spaces of rank 2 vector bundles. I
• Hilbert polynomials of moduli spaces of rank 2 vector bundles. II
• Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I
• Factorisation of generalised theta functions. I
• Stable pairs, linear systems and the Verlinde formula
• Conformal blocks and generalized theta functions
• The automorphism group of the moduli space of semi stable vector bundles
• The Chern classes of the eigenbundles of an automorphism of a curve
• The index of elliptic operators. II
• The index of elliptic operators. III
• Symmetric products of an algebraic curve
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• The Witten–Reshetikhin–Turaev invariants of finite order mapping tori I
• The Verlinde bundles and the semihomogeneous Wirtinger duality
• AUTOMORPHISM FIXED POINTS IN THE MODULI SPACE OF SEMI-STABLE BUNDLES
• Invariant stable bundles over modular curves X(p)
• The Verlinde formula for PGL(p)
• Hecke curves and Hitchin discriminant
• The Lefschetz-Riemann-Roch formula
• Automorphisms of moduli spaces of vector bundles over a curve

This page was built for publication: The Verlinde traces for \(SU_X(2,\xi )\) and blow-ups