JOURNAL ARTICLE
The interplay between 2-Calabi-Yau and 3-Calabi-Yau triangulated categories
Year: 2018 Journal: Scientia Sinica Mathematica Vol: 48 (11)Pages: 1631-1631 Publisher: Science China Press
Abstract
This paper surveys the constructions of 3-Calabi-Yau triangulated categories with simple-minded collections due to Ginzburg and Kontsevich-Soibelman and the constructions of 2-Calabi-Yau triangulated categories with cluster-tilting objects due to Buan-Marsh-Reiten-Reineke-Todorov and Amiot, and includes a discussion on the normal form of 2-Calabi-Yau triangulated categories with cluster-tilting objects.
Keywords:
Calabi–Yau manifold Mathematics Pure mathematics
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45
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0.60
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Citation History
Topics
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Homotopy and Cohomology in Algebraic Topology
Physical Sciences → Mathematics → Mathematical Physics
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