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Non-Kissing Complexes and Tau-Tilting for Gentle Algebras

Non-Kissing Complexes and Tau-Tilting for Gentle Algebras - Memoirs of the American Mathematical Society

Paperback (30 Mar 2022)

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Publisher's Synopsis

"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"--.

Book information

ISBN: 9781470450045
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 512.46
DEWEY edition: 23/eng20220502
Language: English
Weight: 202g
Height: 254mm
Width: 178mm