| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
The cobordism relations regarding several 3 dimensional manifolds as boundary components of a 4 dimensional manifold is one of the important object to study on the fundamental building block of 4 dimensional manifolds. In this research, we investigated the moduli spaces of flat connections over 4 dimensional manifolds to study cobordism relations. In particular, for cobordisms among 3 dimensional manifolds called lens spaces which have negative definite intersection forms, we have shown a generation of certain pair of lens spaces in the cobordism. By using this result, we clarify a certain structure of the homology cobordism group of homology 3 spheres.
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