Categorified Young symmetrizers and stable homology of torus links II


Journal Article

© 2017, Springer International Publishing. We construct complexes P1n of Soergel bimodules which categorify the Young idempotents corresponding to one-column partitions. A beautiful recent conjecture (Flag Hilbert schemes, colored projectors and Khovanov–Rozansky homology. arXiv:1608.07308, 2016) of Gorsky–NeguČ›–Rasmussen relates the Hochschild homology of categorified Young idempotents with the flag Hilbert scheme. We prove this conjecture for P1n and its twisted variants. We also show that this homology is also a certain limit of Khovanov–Rozansky homologies of torus links. Along the way we obtain several combinatorial results which could be of independent interest.

Full Text

Cited Authors

  • Abel, M; Hogancamp, M

Published Date

  • July 1, 2017

Published In

Volume / Issue

  • 23 / 3

Start / End Page

  • 1739 - 1801

Electronic International Standard Serial Number (EISSN)

  • 1420-9020

International Standard Serial Number (ISSN)

  • 1022-1824

Digital Object Identifier (DOI)

  • 10.1007/s00029-017-0336-4

Citation Source

  • Scopus