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Non-Kissing Complexes and Tau-Tilting for Gentle Algebras.
- Format:
- Book
- Author/Creator:
- Palu, Yann.
- Series:
- Memoirs of the American Mathematical Society
- Memoirs of the American Mathematical Society ; v.274
- Language:
- English
- Subjects (All):
- Combinatorial analysis.
- Representations of algebras.
- Partially ordered sets.
- Congruence lattices.
- Convex polytopes.
- Physical Description:
- 1 online resource (110 pages)
- Edition:
- 1st ed.
- Place of Publication:
- Providence : American Mathematical Society, 2022.
- Summary:
- "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.
- Contents:
- String modules
- The non-kissing complex
- The non-kissing lattice
- The non-kissing associahedron.
- Notes:
- Description based on publisher supplied metadata and other sources.
- "November 2021, volume 274, number 1343."
- Includes bibliographical references.
- Other Format:
- Print version: Palu, Yann Non-Kissing Complexes and Tau-Tilting for Gentle Algebras
- ISBN:
- 9781470469122
- 147046912X
- OCLC:
- 1295270068
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