Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 40 min ago
PreprintCC BY 4.0arXiv

A combinatorial model for the canonical join complex of alt ν-Tamari lattices

  • Matthias Müller
Open at sourcePDFDOICite

Abstract

Alt ν-Tamari lattices constitute a remarkable family of lattices associated with lattice paths that broadly generalize the Dyck and Tamari lattices. To systematically study the structural properties of this family, we introduce a combinatorial model that realizes the canonical join complex of alt ν-Tamari lattices. Serving as a universal tool, this model allows us to prove vertex decomposability, establish an explicit shelling order, and reveal the underlying homology of the canonical join complex of alt ν-Tamari lattices.

Related

  1. Rank identifications in join-meet ideals of thin distributive lattices
    Takayuki Hibi, Francesco Navarra, Ayesha Asloob Qureshi
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  2. Automorphisms and canonical forms of integer lattices
    Simon Brandhorst, Tommy Hofmann
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
    Kenta Hashizume
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. Identifying critical risk factors in railway operations based on directed weighted complex networks and combinatorial weighting-TOPSIS
    Guanyi Liu, Xuewei Li, Rui Yang
    PLOS OnePeer-reviewedCC BY 4.0Full textAlgebra & number theoryGeometry & topologyPLOS
  5. The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad
    Kurando Baba, Osamu Ikawa, Shinji Ohno
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv

Cite

BibTeXRIS
BibTeX
@misc{muller2026combinatorial,
  title = {{A combinatorial model for the canonical join complex of alt $ν$-Tamari lattices}},
  author = {Matthias Müller},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.13770},
  eprint = {2605.13770},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.13770},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A combinatorial model for the canonical join complex of alt ν-Tamari lattices
AU  - Matthias Müller
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2605.13770
UR  - https://arxiv.org/abs/2605.13770
AB  - Alt ν-Tamari lattices constitute a remarkable family of lattices associated with lattice paths that broadly generalize the Dyck and Tamari lattices. To systematically study the structural properties of this family, we introduce a combinatorial model that realizes the canonical join complex of alt ν-Tamari lattices. Serving as a universal tool, this model allows us to prove vertex decomposability, establish an explicit shelling order, and reveal the underlying homology of the canonical join complex of alt ν-Tamari lattices.
ER  -