Toric co-Higgs bundles on toric varieties

DOI10.1215/00192082-8827663zbMath1465.14048arXiv2004.00730OpenAlexW3014175141MaRDI QIDQ2039727

Indranil Biswas, Arijit Dey, Steven Rayan, Mainak Poddar

Publication date: 5 July 2021

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00730

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Holomorphic bundles and generalizations (32L05)

Related Items

25 open questions about vector bundles and their moduli

Cites Work

• Stable bundles and integrable systems
• Generalized holomorphic bundles and the B-field action
• Equivariant Chow cohomology of toric varieties
• Equivariant principal bundles and logarithmic connections on toric varieties
• Higgs bundles and local systems
• Moduli of representations of the fundamental group of a smooth projective variety. I
• A vanishing theorem for co-Higgs bundles on the moduli space of bundles
• Toric co-Higgs sheaves
• Co-Higgs bundles on \(\mathbb P^1\)
• CONSTRUCTING CO-HIGGS BUNDLES ON CP2
• Introduction to Toric Varieties. (AM-131)
• EQUIVARIANT BUNDLES ON TORAL VARIETIES
• Moduli of toric vector bundles
• The Self-Duality Equations on a Riemann Surface
• Moduli spaces of semistable rank-2 co-Higgs bundles over P1×P1
• Principal co-Higgs bundles on ℙ¹
• Nonabelian Hodge theory and vector valued modular forms
• Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces
• Existence of nontrivial logarithmic co-Higgs structure on curves