Cattaneo
Fakultäten » Mathematisch-naturwissenschaftliche Fakultät » Mathematik, Institut für » Reine Mathematik » Prof. Dr. Alberto Cattaneo » Cattaneo
Completed research project
| Title / Titel | Integral Invariants of Knots and Manifolds | ||||
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| Abstract (PDF, 14 KB) | |||||
| Summary / Zusammenfassung | Using configuration-space integrals and graph cohomology, it is possible to write several types of invariants; e.g.: Vassiliev's finite-type invariants of knots, invariants of rational homology 3-spheres, cohomology classes of the space of embedded circles in \(R^n\). Our research concentrates on the study of the properties of these invariants and of the underlying graph complexes as well as on the extension of these techniques to other cases. | ||||
| Publications / Publikationen | Integral invariants of 3-manifolds, J. Diff. Geom. 48 (1998), 91-133 (with R. Bott).Integral invariants of 3-manifolds. II, J. Diff. Geom. 53 (1998), 1-13 (with R. Bott).Configuration spaces and Vassiliev classes in any dimension, Algebr. Geom. Topol. 2 (2002), 949-1000 (with P. Cotta-Ramusino and R. Longoni).Algebraic structures on graph cohomology, J. of Knot Theory and Its Ramifications 14 (2005), 627-640 (with P. Cotta-Ramusino and R. Longoni).Remarks on Chern-Simons Invariants Commun. Math. Phys. 293 (2010), 803-836 (with P. Mnev)Weitere Informationen |
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| Project leadership and contacts / Projektleitung und Kontakte |
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| Other links to external web pages | http://arxiv.org/tb/redirect/735482/c9108c860 | ||||
| Funding source(s) / Unterstützt durch |
SNF (Personen- und Projektförderung) |
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| Duration of Project / Projektdauer | Oct 2008 to Sep 2010 |