Work

Tangent Weights and Invariant Curves in Type A Bow Varieties

Year: 2025

Type: article

Abstract: This paper provides a complete classification of torus-invariant curves in Cherkis bow varieties of type A. We develop combinatorial codes for compact and noncompact invariant curves involving the butterfly diagrams, Young diagrams, and binary contingency tables. As a key intermediate step, we also develop a novel tangent weight formula. Finally, we apply this new machinery to example bow varieties to demonstrate how to obtain their 1-skeletons (union of fixed points and invariant curves).

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2025.016

Authors: Alexander Foster, Yiyan Shou, Independent Researcher, USA

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408271308

FWCI:

Cites:

Cited by:

Related to: 10