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Toric Richardson Varieties and Slice Links — arXiv:2609.28536

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.28536
License (as archived): CC0-1.0
Archived: 2026-10-08T06:36:37.260Z
SHA-256 of the archived text: 352676386c3b3159245e3965fcab8d05ab0990bf015127f3c0a48f3479494eb6
Stable URL of this page: https://metraipolis.com/documento/dc_24ef4bdd0140

How to cite

Toric Richardson Varieties and Slice Links — arXiv:2609.28536 — arXiv (en), https://arxiv.org/abs/2609.28536 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_24ef4bdd0140 (Metraipolis archive dc_24ef4bdd0140, sha256 352676386c3b3159245e3965fcab8d05ab0990bf015127f3c0a48f3479494eb6)

BibTeX

@misc{dc24ef4bdd0140,
  title = {Toric Richardson Varieties and Slice Links — arXiv:2609.28536},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.28536},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_24ef4bdd0140; sha256 352676386c3b3159245e3965fcab8d05ab0990bf015127f3c0a48f3479494eb6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.28536. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

For type $A$ braid varieties, including Richardson varieties and positroid varieties, we prove that the standard torus has a dense orbit exactly when the associated link is smoothly slice. More generally, we relate the smooth slice genus to the codimension of a generic standard-torus orbit. For knots, this codimension equals twice the slice genus. We also characterize algebraic tori among open affine Richardson varieties and positroid patches by 2-crown avoidance in their Bruhat intervals. Finally, positroid links have equal Seifert and slice genera, so a positroid link is smoothly slice exactly when it is an unlink.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-25 in math.CO).
Categorie arXiv: Combinatorics (math.CO) ; Algebraic Geometry (math.AG); Geometric Topology (math.GT).
Pagina del lavoro: https://arxiv.org/abs/2609.28536 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T06:02:09.994Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).