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기하학수리물리연구단
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ENTROPY OF THE COMPOSITION OF TWO SPHERICAL TWISTS

DC Field Value Language
dc.contributor.authorBarbacovi, Federico-
dc.contributor.authorJongmyeong Kim-
dc.date.accessioned2024-01-05T22:01:20Z-
dc.date.available2024-01-05T22:01:20Z-
dc.date.created2023-08-07-
dc.date.issued2023-07-
dc.identifier.issn0030-6126-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/14492-
dc.description.abstractGiven a categorical dynamical system, i.e. a triangulated category together with an endofunctor, one can try to understand the complexity of the system by computing the entropy of the endofunctor. Computing the entropy of the composition of two endofunctors is hard, and in general the result doesn’t have to be related to the entropy of the single pieces. In this paper we compute the entropy of the composition of two spherical twists around spherical objects, showing that it depends on the dimension of the graded vector space of morphisms between them. As a consequence of these computations we produce new counterexamples to Kikuta–Takahashi’s conjecture. In particular, we describe the first counterexamples in odd dimension and examples for the d-Calabi–Yau Ginzburg dg algebra associated to the A2 quiver. © 2022, All rights reserved.-
dc.language영어-
dc.publisherOsaka University-
dc.titleENTROPY OF THE COMPOSITION OF TWO SPHERICAL TWISTS-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid001031640000012-
dc.identifier.scopusid2-s2.0-85166012437-
dc.identifier.rimsid81420-
dc.contributor.affiliatedAuthorJongmyeong Kim-
dc.identifier.bibliographicCitationOsaka Journal of Mathematics, v.60, no.3, pp.653 - 670-
dc.relation.isPartOfOsaka Journal of Mathematics-
dc.citation.titleOsaka Journal of Mathematics-
dc.citation.volume60-
dc.citation.number3-
dc.citation.startPage653-
dc.citation.endPage670-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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