Publication
An invariant for stallings manifolds from a TQFT
| dc.contributor.author | Semião, Paulo | |
| dc.date.accessioned | 2014-06-20T13:25:13Z | |
| dc.date.available | 2014-06-20T13:25:13Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | We will present our construction of a class of effectively calculable, isomorphism invariants for Stallings [1] manifolds by constructing a class of Topological Quantum Field Theories (TQFT's) [2] for these manifolds. Given a $2$-dimensional oriented manifold without boundary, $S$, and an orientation-preserving automorphism $\varphi :S\rightarrow S$, the self-gluing of the cylinder $S\times I$, where $I$ is the standard closed unit interval, is a $3$-dimensional manifold $S_{\varphi }:=\frac{S\times I}{\sim _{\varphi }}$ known as a Stallings manifold, where $\sim _{\varphi }$ is the relation generated by the relation $\left(x,0\right) \sim \left( \varphi (x),1\right)$. A fundamental feature of TQFT is the gluing together of two spaces along one or more boundary components. Our TQFT approach [3,4] (in [4] this approach was applied in the geometric context of gerbes) describes equally well the self-gluing of a single space. | por |
| dc.identifier.citation | An Invariant for Stallings Manifolds from a TQFT, Vol. Abstracts - Topology, ICM, 2006. | por |
| dc.identifier.isbn | 978-3-03719-022-7 | |
| dc.identifier.other | AUT: PSE00609; | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/4448 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | ICM | por |
| dc.subject | TQFT's | por |
| dc.subject | Categories | por |
| dc.subject | Stallings Manifolds | por |
| dc.title | An invariant for stallings manifolds from a TQFT | por |
| dc.type | conference object | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Madrid | por |
| oaire.citation.endPage | 304 | por |
| oaire.citation.startPage | 304 | por |
| oaire.citation.title | International Congress of Mathematicians | por |
| oaire.citation.volume | Abstracts-Topology | por |
| rcaap.rights | openAccess | por |
| rcaap.type | conferenceObject | por |