|
|||
|
|||
| Goals |
| To study topological field theories in any dimension and their relation
to topological invariants.
Particular attention is given to BF theories. Topological invariants include 3-manifold invariants and invariants of ordinary links and knots and, at the higher dimensional level, the homology and cohomology of the spaces of imbedded and immersed loops and spheres. |
| Participants | ||
| Alberto Cattaneo | Assistant Professor of Mathematics, University of Zurich, Switzerland | asc@math.unizh.ch |
| Paolo Cotta-Ramusino | Professor of Mathematical Physics, Università degli Studi di Milano, Milano Italy | paolo.cotta@mi.infn.it |
| Riccardo Longoni | Postdoc, Università degli Studi di Milano, Italy. | riccardo.longoni@mi.infn.it |
| Maurizio Rinaldi | Associate Professor of Geometry, Università degli Studi di Novara, Novara Italy | rinaldi@univ.trieste.it |
| Carlo Rossi | PhD Student in Mathematics, University of Zurich, Switzerland | carossi@math.unizh.ch |
| Preprints and recent publications | ||
| A. S. Cattaneo,
Juerg Froehlich, Bill Pedrini |
Topological Field Theory Interpretation of String Topology [abs] [ps] | math.GT/0202176 |
| A. S. Cattaneo
G. Felder, L. Tommasini |
Fedosov connections on jet bundles and deformation quantization [abs] [ps] | math.QA/0111290 |
| A. S. Cattaneo
G. Felder |
On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model [abs] [ps] | hep-th/0111028 |
| A. S. Cattaneo
G. Felder |
Poisson sigma models and deformation quantization [abs] [ps] | hep-th/0102208 |
| A. S. Cattaneo
G. Felder |
On the AKSZ formulation of the Poisson sigma model [abs] [ps] | math.QA/0102108 |
| A. S. Cattaneo
G. Felder L. Tomassini |
From local to global deformation quantization of Poisson manifolds [abs] [ps] | math.QA/0012228 |
| A. S. Cattaneo
C. Rossi |
Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops [abs] [ps] | math.QA/0010172 |
| A. S. Cattaneo
P. Cotta-Ramusino C. Rossi |
Loop observables for BF theories in any dimension and the cohomology of knots [abs][ps] | Lett. Math. Phys. 51, 301-317 (2000) |
| A. S. Cattaneo
G. Felder |
Poisson sigma models and symplectic groupoids [abs][ps] | math.SG/0003023 |
| A. S. Cattaneo
P. Cotta-Ramusino R. Longoni |
Configuration spaces and Vassiliev classes in any dimension [abs][ps] | math.GT/9910139 |
| A. S. Cattaneo
G. Felder |
A path integral approach to the Kontsevich quantization formula [abs][ps] | Commun. Math. Phys. 212, 591-611 (2000) |
| A. S. Cattaneo | Configuration space integrals and invariants for 3-manifolds and knots [abs][ps] | in Low Dimensional Topology, H. Nencka (ed) Cont. Math. 233, 153-165 (1999) |
| A. S. Cattaneo
P. Cotta-Ramusino M. Rinaldi |
Loop and Path Spaces and Four-Dimensional BF Theories: Connections, Holonomies and Observables [abs][ps] | Comm. Math. Phys., 204 493-524 (1999) |
| R. Bott
A. S. Cattaneo |
Integral Invariants of 3-Manifolds. II [abs][ps] | J. Diff. Geom. 53, 1-13 (1999) |
| R. Bott
A. S. Cattaneo |
Integral Invariants of 3-Manifolds [abs][ps] | J. Diff. Geom., 48 91-133 (1998) |
| A. S. Cattaneo
P. Cotta-Ramusino M. Rinaldi |
BRST Symmetries for the Tangent Gauge Group [abs][ps] | J. Math. Phys., 39 1316-1339 (1998) |
| A. S. Cattaneo
P. Cotta-Ramusino F. Fucito M. Rinaldi A. Tanzini, M. Zeni |
Four-Dimensional Yang-Mills Theory as a Deformation of Topological BF Theory [abs][ps] | Comm. Math. Phys., 197 571-621 (1998) |
