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Thom form in equivariant Cech-de Rham theory
| Title: | Thom form in equivariant Cech-de Rham theory |
| Authors: | Fujisawa, Ko Browse this author |
| Keywords: | cohomology | | Cech-de Rham theory | | Thom form | | Riemann-Roch formula |
| Issue Date: | Jul-2018 |
| Publisher: | World Scientific Publishing |
| Journal Title: | International journal of mathematics |
| Volume: | 29 |
| Issue: | 8 |
| Start Page: | 1850050 |
| Publisher DOI: | 10.1142/S0129167X18500507 |
| Abstract: | In the present paper, we provide the foundation of a G-equivariant Cechde Rham theory for a compact Lie group G by using the Cartan model of equivariant differential forms. Our approach is quite elementary without referring to the Mathai Quillen framework. In particular, by a direct computation, we give an explicit formula of the U(l)-equivariant Thom form of C-l, which deforms the classical BochnorMartinelli kernel. Also, we discuss a version of equivariant RiemannRoch formula. |
| Rights: | Electronic version of an article published as International Journal of Mathematics, Vol. 29, No. 08, 2018, 1850050, https://doi.org/10.1142/S0129167X18500507 ©World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijm |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/74847 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 藤沢 好
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