Cauchy-Riemann geometry and contact topology in three dimensions
| dc.creator | Cheng, Jih-Hsin | |
| dc.date | 2000-03-30 | |
| dc.date.accessioned | 2026-07-07T04:34:32Z | |
| dc.date.available | 2026-07-07T04:34:32Z | |
| dc.description | We introduce a global Cauchy-Riemann($CR$)-invariant and discuss its behavior on the moduli space of $CR$-structures. We argue that this study is related to the Smale conjecture in 3-topology and the problem of counting complex structures. Furthermore, we propose a contact-analogue of Ray-Singer's analytic torsion. This ``contact torsion'' is expected to be able to distinguish among ``contact lens'' spaces. We also propose the study of a certain kind of monopole equation associated with a contact structure. | |
| dc.description | 22 pages,review paper | |
| dc.identifier | https://arxiv.org/abs/math/0003211 | |
| dc.identifier | http://arxiv.org/abs/math/0003211 | |
| dc.identifier | Proc. Natl. Sci. Counc. ROC(A), 24(2000),87-94 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58938 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17;32V05,53D35 | |
| dc.title | Cauchy-Riemann geometry and contact topology in three dimensions | |
| dc.type | text |