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 Compositio MathematicaJournal Prestige (SJR): 3.139 Citation Impact (citeScore): 1Number of Followers: 0      Subscription journal ISSN (Print) 0010-437X - ISSN (Online) 1570-5846 Published by Cambridge University Press  [400 journals]
• K-theory+stable+bases+of+the+Springer+resolution&rft.title=Compositio+Mathematica&rft.issn=0010-437X&rft.date=2021&rft.volume=157&rft.spage=2341&rft.epage=2376&rft.aulast=Su&rft.aufirst=Changjian&rft.au=Changjian+Su&rft.au=Gufang+Zhao,+Changlong+Zhong&rft_id=info:doi/10.1112/S0010437X21007533">Wall-crossings and a categorification of K-theory stable bases of the
Springer resolution

Authors: Changjian Su; Gufang Zhao, Changlong Zhong
Pages: 2341 - 2376
Abstract: We compare the $K$-theory stable bases of the Springer resolution associated to different affine Weyl alcoves. We prove that (up to relabelling) the change of alcoves operators are given by the Demazure–Lusztig operators in the affine Hecke algebra. We then show that these bases are categorified by the Verma modules of the Lie algebra, under the localization of Lie algebras in positive characteristic of Bezrukavnikov, Mirković, and Rumynin. As an application, we prove that the wall-crossing matrices of the $K$-theory stable bases coincide with the monodromy matrices of the quantum cohomology of the Springer resolution.
PubDate: 2021-11-01T00:00:00.000Z
DOI: 10.1112/S0010437X21007533
Issue No: Vol. 157, No. 11 (2021)

• Period sheaves via derived de Rham cohomology

Authors: Haoyang Guo; Shizhang Li
Pages: 2377 - 2406
Abstract: In this paper we give an interpretation, in terms of derived de Rham complexes, of Scholze's de Rham period sheaf and Tan and Tong's crystalline period sheaf.
PubDate: 2021-11-01T00:00:00.000Z
DOI: 10.1112/S0010437X21007545
Issue No: Vol. 157, No. 11 (2021)

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