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arXiv · 2107.06480

Strands algebras and the affine highest weight property for equivariant hypertoric categories

Aaron D. Lauda·Anthony M. Licata·Andrew Manion
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Abstract

We show that the equivariant hypertoric convolution algebras introduced by Braden-Licata-Proudfoot-Webster are affine quasi hereditary in the sense of Kleshchev and compute the Ext groups between standard modules. Together with the main result of arXiv:2009.03981, this implies a number of new homological results about the bordered Floer algebras of Ozsvath-Szabo, including the existence of standard modules over these algebras. We prove that the Ext groups between standard modules are isomorphic to the homology of a variant of the Lipshitz-Ozsvath-Thurston bordered strands dg algebras.

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Aaron D. Lauda, Anthony M. Licata, Andrew Manion. 2021-07-14. Strands algebras and the affine highest weight property for equivariant hypertoric categories. https://doi.org/10.1016/j.aim.2022.108849

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