State-Sum Invariants of 4-Manifolds I
| dc.creator | Crane, Louis | |
| dc.creator | Kauffman, Louis H. | |
| dc.creator | Yetter, David N. | |
| dc.date | 1994-09-27 | |
| dc.date.accessioned | 2026-07-07T09:14:24Z | |
| dc.date.available | 2026-07-07T09:14:24Z | |
| dc.description | We provide, with proofs, a complete description of the authors' construction of state-sum invariants announced in [CY], and its generalization to an arbitrary (artinian) semisimple tortile category. We also discuss the relationship of these invariants to generalizations of Broda's surgery invariants [Br1,Br2] using techniques developed in the case of the semi-simple sub-quotient of $Rep(U_q(sl_2))$ ($q$ a principal $4r^{th}$ root of unity) by Roberts [Ro1]. We briefly discuss the generalizations to invariants of 4-manifolds equipped with 2-dimensional (co)homology classes introduced by Yetter [Y6] and Roberts [Ro2], which are the subject of the sequel. (citations refer to bibliography in the paper) | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9409167 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9409167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152660 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | State-Sum Invariants of 4-Manifolds I | |
| dc.type | text |