단순 연결 6차원 다양체의 분류

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.1 Introduction 2 Preliminaries 3 Splitting Theorem 4 A Normal Form 5 Invariants of Torsion-Free 6-manifolds 6 The Classification of Framed Links of S^3 in S^6 7 Identification of the Invariants 8 ExamplesMaste