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10. Miscellaneous

    1.     Braid varieties are compactified by Brick manifolds. The strata here relate to positive braids.

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      Problem 10.1.

      Is there a compactification of the cotangent bundle of Bott-Samelson varieties or the cotangent bundle of Brick manifolds related to all braids?


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          Problem 10.2.

          What can we say about Soergel bimodules and braid varieties?


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              Problem 10.3.

              Can we study parabolic braid varieties, ie. in $G/P$?

              Do these have cluster structures? Do we need to change the definition of a seed?

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