S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Theses (Master's Degree_수리과학부)
Classification of simply-connected 6-manifolds
단순 연결 6차원 다양체의 분류
- Otto van Koert
- 자연과학대학 수리과학부
- Issue Date
- 서울대학교 대학원
- 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2015. 8. Otto van Koert.
- In this paper, we survey the result of C. T. C. Wall on simply-connected 6- manifolds. Roughly speaking, Wall shows that a simply-connected 6-manifold, M , with vanishing 2nd Stiefel-Whitney class and torsion-free homology, is determined, up to diffeomorphism, by its cohomology ring and its first Pontryagin class. We also give some explicit examples.