Explicit constructions of secondary characteristic classes
| Project/Area Number |
22740036
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
TERASHIMA Yuji 東京工業大学, 大学院・理工学研究科, 助教 (70361764)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 微分トポロジー 特性類 / 特性類 / トポロジー / 数理物理 / 双曲多様体 / ゲージ理論 / ホモロジー / 微分形式 / K群 |
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| Research Abstract |
We have found a new relation of 3-dimensional gauge theory and3-dimensional hyperbolic geometry with Masahito Yamazaki in 2011. We have written a paper on the results. The paper has been published as Y. Terashima and M. Yamazaki, SL(2,R)Chern-Simons, Liouville, and Gauge Theories on Duality Walls, JHEP， 1108, 135. (2011).Following this work, with Masahito Yamazaki, we have found a new relation of indices in4-dimensional gauge theories and hyperbolic volumes of 3-dimensional hyperbolic manifolds with boundary. We have written a paper on the results. The paper has been published as Y. Terashima, M. Yamazaki, Emergent 3-manifolds from four dimensionalsuperconformal indices, Phys. Rev. Lett. ，109, (2012) 091602. This relation suggestsvarious new mathematical results.
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Report
(4 results)
Research Products
(5 results)
