The conjectural cohomological stable-envelope formula for bow varieties
The conjectural cohomological stable-envelope formula for bow varieties
Let be a brane diagram and let be a fixed point. For each tangent-weight term , call it -small when its restriction satisfies with . Define
where is the symmetrizing operator and . Cohomological stable-envelope conjecture. Cohomological stable envelopes exist for bow varieties, and the stable envelope for is represented by . The conjecture further asserts that the substitution defining each cohomological restriction of has a limit that exists and is a polynomial, so that defines an element of . The formula proposes an explicit construction of stable envelopes from tangent weights and fixed-point combinatorics; the supplied passage gives no resolution or partial proof, so its status is open.
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Sources & referencesView supporting material
Primary source
R. Rimanyi and Y. Shou, “Bow varieties—geometry, combinatorics, characteristic classes”, arXiv:2012.07814 (2020).
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