The twist for positroid varieties
By Greg Muller, David E. Speyer. 2016
75 citations recorded by the source corpus.
The purpose of this document is to connect two maps related to certain graphs embedded in the disc. The first is Postnikov's boundary measurement map, which combines partition functions of matchings in the graph into a map from an algebraic torus to an open positroid variety in a Grassmannian. The second is a rational map from the open positroid variety to an algebraic torus, given by certain Plücker coordinates which are expected to be a cluster in a cluster structure.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9b98f70733b9291007aca90752e415e65d4a2f23
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Citations in the corpus
- Positroid varieties and cluster algebras (2019, methodology): “ands from [Pos06, MS17] agree with the strands described in Section 3.3. (c)The point g v;w(t)PJ 2Gr(n k;n) is equal to the image of N(t) in Gr(n k;n) under the boundary measurement map (denoted D in [MS17]). This has been veried in e.g. [TW13] or [Kar16], or can be easily checked using Le-diagram i”
- A survey on maximal green sequences (2019, methodology): “It has found important applications in the work of Marsh–Scott [87], Muller–Speyer [92], Rietsch–Williams [104], Cautis–Williams [24], . . . . 3.4.”