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9. Totally non-negative parts of braid varieties


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      Problem 9.1.

      Describe the positive real/totally non negative part of the braid variety. Can this be done using motivation from the perspective of algebraic geometry? symplectic topology? linear algebra?


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          Problem 9.2.

          How can we define totally non negative braid varieties in a way which generalizes the totally non negative part of $G(k,n)/\Pi_f$?


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              Problem 9.3.

              Can we use different cluster structures or parametrizations to cover braid varieties or other interesting spaces by their different positive parts?


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                  Problem 9.4.

                  How can we understand the connected components, topology, etc. of the real points in braid varieties?

                      Cite this as: AimPL: Cluster algebras and braid varieties, available at http://aimpl.org/clusterbraid.