Books
-
Yu. Kubyshin,
M. Mackaay, N. Manojlovic, R. Picken, and P. Sá, editors.
Proceedings
of the Meeting New Developments in Algebraic Topology', Faro, Portugal,
July 13-14, 1998.. Universidade do Algarve, 2000.
2003
-
R. P.
Carpentier, Topological notions for Kauffman and Vogel's polynomial, J.
Knot Theory Ramif. 12, 67-78, 2003.
-
C. Florentino,
J. Mourão and J. Nunes, Coherent state transforms and vector bundles
on elliptic curves, J. Funct. Anal., 204, 355-398, 2003.
-
P. Lopes,
Quandles at finite temperatures I, J. Knot Theory Ramif. 12
159-186, 2003.
-
G. Rodrigues,
Homotopy quantum field theories and the homotopy cobordism category in
dimension 1+1. J. Knot Theory Ramifications 12(3):287-319, 2003.
2002
-
C. Florentino,
J. Mourão and J. Nunes, Coherent state transforms and abelian varieties,
J.
Funct. Anal.,192, 410-424, 2002.
-
M. Mackaay
and R. F. Picken, Holonomy and parallel transport for Abelian gerbes, Adv.
Math. 170, 287-339, 2002.
-
J. E.
Nelson and R. F. Picken, Parametrization of the moduli space of flat SL(2,R)
connections on the torus, Lett. Math. Phys. 59 (2002) 215-226, 2002.
2001
-
C. Florentino, Schottky uniformization
and vector bundles over Riemann surfaces. Manuscripta Math. 105(1):
69--83, 2001.
2000
-
R. P. Carpentier.
From planar graphs to embedded graphs - a new approach to Kauffman and
Vogel's polynomial.
J. Knot Theory Ramifications, 9(8):975--986,
2000.
-
Yu.
Kubyshin, M. Mackaay, N. Manojlovi\'c, R. Picken, and P. Sá, editors.
Proceedings
of the Meeting ``New Developments in Algebraic Topology'', Faro, Portugal,
July 13-14, 1998.. Universidade do Algarve, 2000.
-
M. Mackaay.
Finite groups, spherical 2-categories and 4-manifold invariants.
Adv.
Math., 153((2)):353--390, 2000.
-
J.
E. Nelson and R. F. Picken. Quantum holonomies in (2+1)-dimensional gravity.
Phys.
Lett. B, 471:367--372, 2000.
-
J.
E. Nelson and R. F. Picken. Quantum matrix pairs.
Lett. Math. Phys.,
52:277--290, 2000.
-
R.
F. Picken and P. A. Semião. TQFT - a new direction in algebraic
topology. In Proceedings of the Meeting ``New Developments in Algebraic
Topology'', Faro, Portugal, July 13-14, 1998., pages 85--101. Universidade
do Algarve, 2000.
1999
-
A. P.
Caetano and R. F. Picken. On a family of topological invariants similar
to homotopy groups. Rendiconti Univ. Trieste, 30:81--90, 1999.
-
M. Mackaay.
Spherical 2-categories and 4-manifold invariants.
Adv. Math., 143:288--348,
1999.
1998
-
O.
Bertolami, M.C. Bento, and N.J.G. Nunes. Primordial density fluctuations
in a dual supergravity cosmology. Phys. Lett. B, 427:261, 1998.
-
N. Manojlovi\'c
and A. Mikovi\'c. Remarks on the reduced phase space of (2+1)-gravity in
the Ashtekar formulation.
Class. Quant. Grav., 15:3031, 1998.
1997
-
O. Bertolami.
Dualities, CPT symmetry and dimensional reduction in string theory. Proceedings
of the Second International Conference on Constrained Dynamics and Quantum
Gravity, Santa Margherita, Italy, September 1996. Nucl. Phys. B (Proc.
Suppl.), 57:91, 1997.
-
O. Bertolami.
Lorentz invariance and the cosmological constant.
Classical and Quantum
Gravity, 14:2785, 1997.
-
O. Bertolami.
Weak lensing, shear and the cosmic virial theorem in a model with a scale-depending
gravitational coupling.
General Relativity and Gravitation, 29:851,
1997.
-
O.
Bertolami, D. Colladay, V.A. Kosteleck\'y, and R. Potting. CPT violation
and baryogenesis.
Phys. Lett. B, 395:178 -- 183, 1997.
-
O.
Bertolami, P.D. Fonseca, and P.V. Moniz. Quantum cosmological multidimensional
Einstein-Yang-Mills model in a $R \times S^3 \times S^d$ topology.
Phys.
Rev. D, 56:4530, 1997.
-
R.F. Picken.
Reflections on topological quantum field theory.
Rep. Math. Phys.,
40:295--303, 1997.
1996
-
M.C.
Bento and O. Bertolami. Constraints on supergravity chaotic inflationary
models.
Phys. Lett. B, 365:59, 1996.
-
M.C.
Bento and O. Bertolami. Maximally symmetric cosmological solutions of higher-curvature
string effective theories with dilatons.
Phys. Lett. B, 368:198,
1996.
-
M.C.
Bento and O. Bertolami. Strings and cosmology.
General Relativity and
Gravitation, 28:565, 1996. Essay awarded an Honourable Mention by the
Gravity Research Foundation, USA, in 1995.
-
M.C.
Bento and O. Bertolami. Topological inflation in dual string models.
Phys.
Lett. B, 384:98, 1996.
O.
Bertolami and J. Garcia-Bellido. Astrophysical and cosmological constraints
on a scale-dependent gravitational coupling.
Int. J. Mod. Phys. D,
5:363, 1996.
Publications
To Appear (or Submitted)
-
C. Florentino, J. Mourão and J.P. Nunes.
Coherent State Transforms and Theta Functions, to appear in
Proceedings of the Steklov Mathematical
Institute.
-
P. Lopes
and M. Dionísio, Quandles at finite temperatures II, to appear in
J.
Knot Theory Ramif., math.GT/0205053.
-
M. Mackaay,
A note on the holonomy of connections in twisted bundles, to appear in
Cah.
Topol. Geom.Diff. Categor., math.DG/0106019.
-
M. Mackaay
and R. F. Picken, 2-Categories, 4d state-sum models and gerbes, To appear
in Proceedings of the III Fórum de Jovens Investigadores,
University of the Algarve, 7-10/4/2001
-
R. Picken
and P. Semião, A classical approach to TQFT's, submitted to Int.
Math. Res. Not., math.QA/0212310.
-
R. Picken,
A cohomological description of Abelian bundles and gerbes, submitted to
the Proceedings of XXth Workshop on Geometric Methods in Physics,
Bialowieza, July 1-7, 2001.
-
R. Picken,
TQFT's and gerbes, submitted to the Proceedings of the Symposium "Topology,
Geometry and Quantum Field Theory", Oxford, 24-29 June, 2002. math.DG/030206
PhD Theses
-
P. Semião,
Teorias
Topológicas Quânticas do Campo no Contexto da Topologia Algébrica,
PhD thesis, Universidade do Algarve, 2002.
-
M. Mackaay.
Categorical
Construction of Four-dimensional Topological Field Theories. PhD thesis,
IST, Universidade Técnica de Lisboa, 1999. Supervised by L. Crane
and R. F. Picken.
-
A. Caetano.
Tópicos
de Holonomia em Geometria Diferencial, Teoria do Campo e Relatividade.
PhD thesis, IST, Universidade Técnica de Lisboa, 1996. In Portuguese
- Supervised by R.F. Picken.
Scientific
Events
(co-organized by members)
2003
International
Conference of Mathematical Physics, Lisbon, Portugal, July 28 -
August 2, 2003.
M. Mackaay, J. Mourão, N. Manojlovic
and R. Picken (co-organizers).
Young
Researcher Symposium of the ICMP, Lisbon, Portugal, July 25-26,
2003.
M. Mackaay, J. Mourão, N. Manojlovic
and R. Picken (co-organizers).
Workshop
on Categorification and Higher-Order Geometry, Lisbon, Portugal,
July 23-24, 2003.
M. Mackaay and R. Picken (co-organizers).
XII
Oporto Meeting on Geometry, Topology and Physics, Oporto, Portugal,
July 19-22, 2003.
J. Mourão and R. Picken (co-organizers).
Vector
Bundles on Algebraic Curves - VBAC 2003, Porto, Portugal, July
1-5, 2003
C. Florentino (co-organizer)
IV
Lisbon Summer Lectures in Geometry, Lisbon, Portugal, June 2-4
(R. Picken and M. Mackaay co-organisers)
2002
XI
Oporto Meeting on Geometry, Topology and Physics, Porto, Portugal,
July 12-15, 2002.
José Mourão and Roger
Picken (co-organizers).
III
Lisbon Summer Lectures in Geometry, Department of Mathematics of
IST, Lisbon, Portugal, July 8-11, 2002.
Carlos Florentino, José Mourão
and Roger Picken (co-organizers).
2001
2000
1999
Long Term
Visitors
-
Louis Crane (Kansas State University)
from October 1998 to March 1999 and from September 2000 to August 2001
-
Aleksandar Mikovic (University
of Belgrade) from April 2000 to March 2001
Research
Projects
-
Categorical
Ideas in Gauge Theory and Applications in Low-Dimensional Topology,
IST/UTL.
Funded by FCT/FEDER/POCTI
Coordinator: Roger Picken - Group
4
CEMAT Members: Marco Mackaay, Gonçalo
Rodrigues, João Faria Martins, Paulo Semião, Pedro Lopes,
Rui Carpentier
-
Moduli spaces, integrability and string theory,
IST/UTL.
Funded by FCT/FEDER/POCTI
CEMAT Members:
Carlos Florentino, José Mourão, Ana Cristina Casimiro
-
Functional Analysis and Quantum Field
Theory, Universidade
do Algarve.
Funded by FCT/FEDER/PRAXIS
CEMAT Members: Marco Mackaay, Roger
Picken - Group 4
-
Mathematical Physics, Universidade
de Lisboa - Fundação.
Funded by FCT/FEDER/PRAXIS
CEMAT Member: Roger Picken - Group
4
-
Nonperturbative Aspects of Fields and
Strings, CINTAL.
Funded by FCT/FEDER/PRAXIS
CEMAT Members: Marco Mackaay, Roger
Picken - Group 4
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