Bow varieties---geometry, combinatorics, characteristic classes
arXiv:2012.07814
Abstract
Cherkis bow varieties are believed to be the set of spaces where 3d mirror symmetry for characteristic classes can be observed. We describe geometric structures on a large class of Cherkis bow varieties by developing the necessary combinatorial presentations, including binary contingency tables and skein diagrams. We make the first steps toward the sought after statement for 3d mirror symmetry for characteristic classes by conjecturing a formula for cohomological stable envelopes. Additionally we provide an account of the full statement, with examples, for elliptic stable envelopes.
v2: Section 3.4 and the Appendix added
References in corpus (14)
- S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
- Mirror Symmetry in Three Dimensional Gauge Theories
- Combinatorial Formulae for Nested Bethe Vectors
- Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation
- Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety
- Instantons on Gravitons
- Motivic Chern classes and K-theoretic stable envelopes
- On 3d extensions of AGT relation
- Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
- Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety
- 3d Mirror Symmetry and Elliptic Stable Envelopes
- 3d Mirror Symmetry and Quantum -theory of Hypertoric Varieties
- Towards geometric Satake correspondence for Kac-Moody algebras -- Cherkis bow varieties and affine Lie algebras of type
- Counterexamples to hyperkahler Kirwan surjectivity