Abstract
For a smooth surface S, Porta–Sala defined a categorical Hall algebra generalizing previous work in K-theory of Zhao and Kapranov–Vasserot. We construct semi-orthogonal decompositions for categorical Hall algebras of points on S. We refine these decompositions in K-theory for a topological K-theoretic Hall algebra.
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Acknowledgements
I thank Francesco Sala, Yukinobu Toda, and the referee for useful comments and suggestions. I thank the Institute of Advanced Studies for support during the preparation of the paper. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1926686.
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Pǎdurariu, T. Generators for Hall algebras of surfaces. Math. Z. 303, 40 (2023). https://doi.org/10.1007/s00209-022-03185-3
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DOI: https://doi.org/10.1007/s00209-022-03185-3