2010 Fiscal Year Final Research Report
On the geometry of a Riemann surface underlying a virtual turning point
| Project/Area Number |
20540150
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
HONDA Naofumi Hokkaido University, 大学院・理学研究院, 准教授 (00238817)
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| Project Period (FY) |
2008 – 2010
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| Keywords | WKB解析 |
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| Research Abstract |
We study the geometry underlying a virtual turning point, which appears in exact WKB analysis. For this purpose, we have constructed a Riemann surface associated with a linear differential equation with a large parameter and a depth function which indicates dependency between new Stokes curves. As an application, we show that we can really obtain connection coefficients on all the new Stokes curves.
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