논문KCI 등재
The topology of $S^2$-fiber Bundles
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Abstract
Let P xrightarrow{pi} M be an oriented S^2-fiber bundle overa closed manifold M and let Q be its associatedSO(3)-bundle, then we investigate the ring structure of thecohomology of the total space P by constructing the couplingform tau_A induced from an SO(3) connection A. We show thatthe cohomology ring of total space splits into those of the basespace and the fiber space if and only if the Pontrjagin classp_1(Q) in H^4(M;mathbb{Z}) vanishes. We apply this result to the twistor spaces of 4-manifolds
참고문헌 (7)
- "\it Differential forms in algebraic topology}" (1986), Springer-Verlag
- "\it Anti-symplectic involutions with Lagrangian fixed loci and their quotients}"
- "\it Classification of oriented sphere bundles over a 4-complex}"
- "Ann. of Math. vol. 69", pp.667~
- "\it The Seiberg-Witten equations and applications to the topology of smooth four-manifolds}"
- "\it Introduction to symplectic topology}" (1995)
- "\it A universal phase space for particle in Yang-Mills fields}"
관련 논문AI추천
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