The objects in the ever-astounding field of “symplectic resolutions” are complex symplectic (not Kähler — the 2-form is (2,0) not (1,1)) manifolds whose affinization map is birational. As you know, the morphisms are the Lagrangians in .

However, it appears to me that this isn’t quite the right category — the manifolds should come equipped with a symplectic circle action with compact fixed-point set. It’s then very interesting (Maulik-Okounkov’s approach to R-matrices) to consider changing the circle action on a given symplectic resolution.

Have you run into this wrinkle? In particular, do you know what the morphisms in this richer category should be?

]]>• Jakob L. Andersen, Christoph Flamm, Daniel Merkle, and Peter F. Stadler, Generic strategies for chemical space exploration.

• Jakob L. Andersen, Christoph Flamm, Daniel Merkle, Peter F. Stadler, A software package for chemically inspired graph transformation.

• Omar A. Khalil, Farshad Harirchi, Doohyun Kim, Sijia Liu, Paolo Elvati, Angela Violi and Alfred O. Hero, Model reduction in chemical reaction networks: a data-driven sparse-learning approach.

]]>Do you feel like any of this research (chemical reaction networks generally) might benefit from computations/analysis/simulations over very large graphs?

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