Order One Invariants of Immersions
| dc.creator | Nowik, Tahl | |
| dc.date | 2001-03-25 | |
| dc.date.accessioned | 2026-07-07T04:40:45Z | |
| dc.date.available | 2026-07-07T04:40:45Z | |
| dc.description | We classify all order one invariants of immersions of a closed orientable surface F into R^3, with values in an arbitrary Abelian group G. We show that for any F and G and any regular homotopy class A of immersions of F into R^3, the group of all order one invariants on A is isomorphic to G^\aleph_0 \oplus B \oplus B where G^\aleph_0 is the group of all functions from a set of cardinality \aleph_0 into G and B={x\in G : 2x=0}. Our work includes foundations for the study of finite order invariants of immersions of a closed orientable surface into R^3, analogous to chord diagrams and the 1-term and 4-term relations of knot theory. | |
| dc.description | 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0103157 | |
| dc.identifier | http://arxiv.org/abs/math/0103157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61134 | |
| dc.subject | Geometric Topology | |
| dc.title | Order One Invariants of Immersions | |
| dc.type | text |