Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2014
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1407.4868 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910324533231616 |
|---|---|
| author | Wang, Yong Sun, Aihui |
| author_facet | Wang, Yong Sun, Aihui |
| contents | We establish the cancellation of the first |2j-q| terms in the diagonal asymptotic expansion of the restriction to the (0, 2j)-forms of the Bergman kernel associated to the modified spin^c Dirac operator on high tensor powers of a line bundle with mixed curvature twisted by a (non necessarily holomorphic) complex vector bundle, over a compact symplectic manifold. Moreover, we give a local formula for the first and the second (non-zero) leading coefficients which generalizes the Puchol-Zhu's results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1407_4868 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | The first terms in the expansion of the Bergman kernel in higher degrees: mixed curvature case Wang, Yong Sun, Aihui Differential Geometry We establish the cancellation of the first |2j-q| terms in the diagonal asymptotic expansion of the restriction to the (0, 2j)-forms of the Bergman kernel associated to the modified spin^c Dirac operator on high tensor powers of a line bundle with mixed curvature twisted by a (non necessarily holomorphic) complex vector bundle, over a compact symplectic manifold. Moreover, we give a local formula for the first and the second (non-zero) leading coefficients which generalizes the Puchol-Zhu's results. |
| title | The first terms in the expansion of the Bergman kernel in higher degrees: mixed curvature case |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1407.4868 |