Non-kissing complexes and tau-tilting for gentle algebras / Yann Palu, Vincent Pilaud, Pierre-Guy Plamondon.

Author/creator Palu, Yann, 1980-
Other author Pilaud, Vincent, 1984-
Other author Plamondon, Pierre-Guy, 1986-
Format Electronic
Publication InfoProvidence, Rhode Island : American Mathematical Society, [2021]
Descriptionvii, 95 pages : illustrations ; 26 cm
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesMemoirs of the American Mathematical Society, 0065-9266 ; number 1343
Contents String modules -- The non-kissing complex -- The non-kissing lattice -- The non-kissing associahedron.
Abstract "We interpret the support -tilting complex of any gentle bound quiver as the non-kissing complex of walks on its blossoming quiver. Particularly relevant examples were previously studied for quivers defined by a subset of the grid or by a dissection of a polygon. We then focus on the case when the non-kissing complex is finite. We show that the graph of increasing flips on its facets is the Hasse diagram of a congruence-uniform lattice. Finally, we study its g-vector fan and prove that it is the normal fan of a non-kissing associahedron"-- Provided by publisher.
General note"November 2021, volume 274, number 1343."
Bibliography noteIncludes bibliographical references.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2022007675
ISBN9781470450045 (paperback)
ISBN(epub)

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