지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The primary aim of this paper is to generalize a theorem of Hirzebruch for the complex $2$-dimensional Bott manifolds, usually called Hirzebruch surfaces, to more general Bott towers of height $n$. To do so, we first show that all complex vector bundles of rank $2$ over a Bott manifold are classified by their total Chern classes. As a consequence, in this paper we show that two Bott manifolds $B_n(\alpha_1, \ldots, \alpha_{n-1}, \alpha_n)$ and $B_n(\alpha_1, \ldots, \alpha_{n-1}, \alpha_n')$ are isomorphic to each other, as Bott towers if and only if both $\alpha_n\equiv \alpha_n'$ mod $2$ and $\alpha_n^2=(\alpha_n')^2$ hold in the cohomology ring of $B_{n-1}(\alpha_1,\ldots, \alpha_{n-1})$ over integer coefficients. This result will complete a circle of ideas initiated in \cite{Ishida} by Ishida. We also give some partial affirmative remarks toward the assertion that under certain condition our main result still holds to be true for two Bott manifolds just diffeomorphic, but not necessarily isomorphic, to each other.
목차
등록된 정보가 없습니다.
참고문헌 (19)
참고문헌 신청
A. Borel / 1958 / Characteristic classes and homogeneous spaces / I, Amer. J. Math 80:458~538
R. Bott / 1958 / Applications of the theory of Morse to symmetric spaces / Amer. J. Math 80:964~1029
R. Bott / 1982 / Differential Forms in Algebraic Topology / Springer
V. Buchstaber / 2002 / Torus actions and their applications in topology and combinatorics / Amer. Math. Soc
S. Choi / 2012 / Classification of Q-trivial Bott towers / J. Symp. Geom 10(3):447~462
R. Bott / 1958 / Applications of the theory of Morse to symmetric spaces / Amer. J. Math 80:964~1029
R. Bott / 1982 / Differential Forms in Algebraic Topology / Springer
V. Buchstaber / 2002 / Torus actions and their applications in topology and combinatorics / Amer. Math. Soc
S. Choi / 2012 / Classification of Q-trivial Bott towers / J. Symp. Geom 10(3):447~462
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
SPIN-STRUCTURES ON REAL BOTT MANIFOLDS
대한수학회지
2017 .01
-
A singular function from Sturmian continued fractions
대한수학회지
2019 .01
-
Trace expression of $r$-th root over finite field
대한수학회지
2020 .01
-
근미래 라이프스타일에 따른 알파룸 공간의 수요특성에 관한 연구
한국주거학회 학술대회논문집
2019 .11
-
ON A CLASS OF QUANTUM ALPHA-CONVEX FUNCTIONS
Journal of applied mathematics & informatics
2018 .01
-
ON ALMOST ALPHA-COSYMPLECTIC MANIFOLDS WITH SOME NULLITY DISTRIBUTIONS
호남수학학술지
2019 .01
-
A double integral characterization of a Bergman type space and its M\"obius invariant subspace
대한수학회보
2019 .01
-
A fundamental theorem of calculus for the $M_{\alpha}$-integral
대한수학회논문집
2022 .04
-
ON DELTA ALPHA DERIVATIVE ON TIME SCALES
충청수학회지
2016 .01
-
On Semi C-Reducibility of General (alpha, beta) Finsler Metrics
Kyungpook Mathematical Journal
2019 .01
-
Translation theorems for the analytic Fourier--Feynman transform associated with Gaussian paths on Wiener space
대한수학회지
2018 .01
-
Invariant null rigged hypersurfaces of indefinite nearly ${\alpha}$-Sasakian manifolds
대한수학회논문집
2024 .04
-
A class of inverse curvature flows in $\mathbb{R}^{n+1}$, II
대한수학회지
2020 .01
-
S-curvature and geodesic orbit property of invariant $(\alpha_{1},\alpha_{2})$-metrics on spheres
대한수학회보
2023 .01
-
Hardy-Littlewood property and $\alpha$-quasihyperbolic metric
대한수학회논문집
2020 .01
-
On $KU$-Algebras containing $(\alpha, \beta)$-US soft sets
한국수학논문집
2020 .01
-
A note on generalized derivations as a Jordan homomorphisms
대한수학회보
2020 .01
-
Machine Learning Study on Nuclear α Decays
새물리
2021 .07
-
Unified (α, β)-flows on triangulated manifolds with two and three dimensions
대한수학회보
2017 .07
-
Hyponormal singular integral operators with Cauchy kernel on $L^2$
대한수학회논문집
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0