RIGIDITY AND SCHOFIELD’S PARTIAL TILTING CONJECTURE FOR QUIVER MODULI

Pieter Belmans; Ana Maria Brecan; Hans Franzen; Gianni Petrella; Markus Reineke

doi:10.5802/jep.312

RIGIDITY AND SCHOFIELD’S PARTIAL TILTING CONJECTURE FOR QUIVER MODULI

Pieter Belmans
, Ana Maria Brecan
, Hans Franzen
, Gianni Petrella
, Markus Reineke

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We explain how Teleman quantization can be applied to moduli spaces of quiver representations, in order to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield’s partial tilting conjecture in many interesting cases, and to show that moduli spaces of quiver representations are often (infinitesimally) rigid as varieties.

Original language	English
Pages (from-to)	1345-1379
Number of pages	35
Journal	Journal de l'Ecole Polytechnique - Mathematiques
Volume	12
DOIs	https://doi.org/10.5802/jep.312
Publication status	Published - 2025

Bibliographical note

Publisher Copyright:
© 2025 Ecole Polytechnique. All rights reserved.

Keywords

deformation theory
Moduli spaces of quiver representations
Teleman quantization

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10.5802/jep.312Licence: CC BY

JEP_2025__12__1345_0Final published version, 1.18 MBLicence: CC BY

Cite this

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abstract = "We explain how Teleman quantization can be applied to moduli spaces of quiver representations, in order to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield{\textquoteright}s partial tilting conjecture in many interesting cases, and to show that moduli spaces of quiver representations are often (infinitesimally) rigid as varieties.",

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AU - Reineke, Markus

PY - 2025

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AB - We explain how Teleman quantization can be applied to moduli spaces of quiver representations, in order to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield’s partial tilting conjecture in many interesting cases, and to show that moduli spaces of quiver representations are often (infinitesimally) rigid as varieties.

KW - deformation theory

KW - Moduli spaces of quiver representations

KW - Teleman quantization

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ER -

RIGIDITY AND SCHOFIELD’S PARTIAL TILTING CONJECTURE FOR QUIVER MODULI

Abstract

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Keywords

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