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기하학수리물리연구단
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Categorical entropy, (co-)t-structures and ST-triples

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Title
Categorical entropy, (co-)t-structures and ST-triples
Author(s)
Jongmyeong Kim
Publication Date
2023-07
Journal
Mathematische Zeitschrift, v.304, no.3
Publisher
Springer Science and Business Media Deutschland GmbH
Abstract
In this paper, we study a dynamical property of an exact endofunctor Φ : D→ D of a triangulated category D . In particular, we are interested in the following question: Given full triangulated subcategories A, B⊂ D such that Φ (A) ⊂ A and Φ (B) ⊂ B , how the categorical entropies of Φ | A and Φ | B are related? To answer this question, we introduce new entropy-type invariants using bounded (co-)t-structures with finite (co-)hearts and prove their basic properties. We then apply these results to answer our question for the situation where A has a bounded t-structure and B has a bounded co-t-structure which are, in some sense, dual to each other. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
URI
https://pr.ibs.re.kr/handle/8788114/13592
DOI
10.1007/s00209-023-03293-8
ISSN
0025-5874
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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