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| File | Description | Size | Format | |
|---|---|---|---|---|
| S1474748013000169.pdf | 292.59 kB | Adobe PDF | View/Open |
| Title: | Microlocal Euler classes and Hochschild homology |
| Authors: | Kashiwara, Masaki Schapira, Pierre |
| Author's alias: | 柏原, 正樹 |
| Keywords: | sheaves D-modules microlocal sheaf theory Euler classes |
| Issue Date: | Jul-2014 |
| Publisher: | Cambridge University Press |
| Journal title: | Journal of the Institute of Mathematics of Jussieu |
| Volume: | 13 |
| Issue: | 03 |
| Start page: | 487 |
| End page: | 516 |
| Abstract: | We define the notion of a trace kernel on a manifold M. Roughly speaking, it is a sheaf on M×M for which the formalism of Hochschild homology applies. We associate a microlocal Euler class with such a kernel, a cohomology class with values in the relative dualizing complex of the cotangent bundle T∗M over M, and we prove that this class is functorial with respect to the composition of kernels. |
| Rights: | © Cambridge University Press 2013 この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
| URI: | http://hdl.handle.net/2433/188908 |
| DOI(Published Version): | 10.1017/S1474748013000169 |
| Appears in Collections: | Journal Articles |
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