Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $\nu$-Tamari lattice via $\nu$-trees, $\nu$-bracket vectors, and
  subword complexes   We give new interpretations of the $\nu$-Tamari lattice of Pr\'eville-Ratelle
and Viennot. First, we describe it as a rotation lattice of $\nu$-trees, which
uncovers the relation with known combinatorial objects such as tree-like
tableaux and north-east fillings. Then, using a formulation in terms of bracket
vectors of $\nu$-trees and componentwise order, we provide a simple description
of the lattice property. We also show that the $\nu$-Tamari lattice is
isomorphic to the increasing-flip poset of a suitably chosen subword complex,
and settle a special case of Rubey's lattice conjecture concerning the poset of
pipe dreams defined by chute moves. Finally, this point of view generalizes to
multi $\nu$-Tamari complexes, and gives (conjectural) insight on their
geometric realizability via polytopal subdivisions of multiassociahedra.

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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: eess