| Project/Area Number |
21840034
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Kyoto University |
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Principal Investigator |
GOMI Kiyonori Kyoto University, 大学院・理学研究科, 准教授 (00543109)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2009: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
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| Keywords | 位相的量子場の理論 / 幾何的量子化 / Chern-Simons理論 / gerbe / twisted K-theory / differential K-theory |
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| Research Abstract |
(i) Developing my results so far, I got a finite-dimensional realization of equivariant twisted K-cohomology theory. In particular, this realization allows that by using actions of Clifford algebras. (ii) I constructed a basis of the ring of universal characteristic classes for twisted K-theory of certain type. By means of this basis, I gave a new lift to twisted de Rham cohomology. (iii) I proved that an operation defined by the product in differential K-theory factors through a single delooping of an Adams operation.
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