PreprintarXiv licencearXiv
The Universal Nilpotent Cone and a Canonical 1-form
Abstract
We construct a canonical Du Bois 1-form on the nilpotent cone in the dual Lie algebra of any reductive group. Using this 1-form we give an intrinsic construction of Nadler and Yun's universal global nilpotent cone. In particular, we obtain a moduli interpretation of the universal nilpotent cone.
Related
- Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction
- Counting Irreducible Components of the Semistable Global Nilpotent Cone
- A Hesselink-type formula for the nilpotent cone of Lie algebra representations
- A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
- A description of the canonical symplectic form of the cotangent bundle of a generalized flag manifold
BibTeX
@misc{kjærsgaard2026universal,
title = {{The Universal Nilpotent Cone and a Canonical 1-form}},
author = {Marius Kjærsgaard},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03311},
eprint = {2611.03311},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03311},
}
RIS
TY - UNPB
TI - The Universal Nilpotent Cone and a Canonical 1-form
AU - Marius Kjærsgaard
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03311
UR - https://arxiv.org/abs/2611.03311
AB - We construct a canonical Du Bois 1-form on the nilpotent cone in the dual Lie algebra of any reductive group. Using this 1-form we give an intrinsic construction of Nadler and Yun's universal global nilpotent cone. In particular, we obtain a moduli interpretation of the universal nilpotent cone.
ER -