Strong cohomological rigidity of Bott manifolds

DC Field	Value	Language
dc.contributor.author	Choi, Suyoung	-
dc.contributor.author	Hwang, Taekgyu	-
dc.contributor.author	Jang, Hyeontae	-
dc.date.issued	2025-07-01	-
dc.identifier.issn	1090-2082	-
dc.identifier.uri	https://aurora.ajou.ac.kr/handle/2018.oak/38280	-
dc.identifier.uri	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105003699042&origin=inward	-
dc.description.abstract	We show that two Bott manifolds are diffeomorphic if and only if their integral cohomology rings are isomorphic as graded rings. In fact, we prove that any graded cohomology ring isomorphism between two Bott manifolds is induced by a diffeomorphism.	-
dc.description.sponsorship	This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) ( RS-2021-NR060141 and RS-2025-00521982 ).	-
dc.language.iso	eng	-
dc.publisher	Academic Press Inc.	-
dc.title	Strong cohomological rigidity of Bott manifolds	-
dc.type	Article	-
dc.citation.title	Advances in Mathematics	-
dc.citation.volume	473	-
dc.identifier.bibliographicCitation	Advances in Mathematics, Vol.473	-
dc.identifier.doi	10.1016/j.aim.2025.110305	-
dc.identifier.scopusid	2-s2.0-105003699042	-
dc.identifier.url	https://www.sciencedirect.com/science/journal/00018708	-
dc.subject.keyword	Bott manifold	-
dc.subject.keyword	Cohomological rigidity	-
dc.subject.keyword	Strong cohomological rigidity	-
dc.subject.keyword	Toric topology	-
dc.type.other	Article	-
dc.identifier.pissn	00018708	-
dc.description.isoa	false	-
dc.subject.subarea	Mathematics (all)	-

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