Book

Publications

  1. [KMNT19b] Holomorphic fractional Fourier transforms.
    By W. Kirwin, J. Mourao, J.P. Nunes and T. Thiemann.
    arxiv:1905.04116.
  2. [KMNT19a] Segal-Bargmann transforms from hyperbolic Hamiltonians.
    By W. Kirwin, J. Mourao, J.P. Nunes and T. Thiemann.
    arxiv:1902.08751.
  3. [BMN17] Picard group and quantization of toric orbifolds.
    By T. Baier, J. Mourao and J.P. Nunes.
    arxiv:1702.02626.
  4. [MNP20] Partial coherent state transforms, G x T-invariant Kahler structures and geometric quantization of cotangent bundles of compact Lie groups, .
    By J. Mourao, J.P. Nunes and M. B. Pereira.
    Adv. Math. 368 (2020) 107139.
    DOI: 10.1016/j.aim.2020.107139
  5. [MNR19] A new approximation method for geodesics on the space of Kaehler metrics.
    By J. Mourao, J.P. Nunes and T. Reis.
    Anal. Math. Phys. 9 (2019) 1927-1939.
    DOI: 10.1007/s13324-019-00287-w
  6. [DMNQ18] Clifford coherent state transforms on spheres.
    By P. Dang, J. Mourao, J.P. Nunes and T. Qian.
    J. Geom. Phys. 124 (2018) 225-232.
    DOI: 10.1016/j.geomphys.2017.11.002
  7. [MNQ17] Coherent state transforms and the Weyl equation in Clifford analysis.
    By Jose Mourao, Joao P. Nunes and Tao Qian.
    J. Math. Phys. 58 (2017) 013503.
    DOI: 10.1063/1.4974449
  8. [KMNQ16] Extending coherent state transforms to Clifford analysis.
    By William D. Kirwin, Jose Mourao, Joao P. Nunes and Tao Qian.
    J. Math. Phys. 57 (2016) 103505.
    DOI: 10.1063/1.4964448
  9. [KMN16] Complex symplectomorphisms and pseudo-Kaehler islands in the quantization of toric manifolds .
    By W. D. Kirwin, J. M. Mourao and J. P. Nunes.
    Mathematische Annalen 364 (2016) 1-28.
    DOI: 10.1007/s00208-015-1205-0
  10. [EMN15] Quantization in singular real polarizations: Kaehler regularization, Maslov correction and pairings.
    By J. N. Esteves, J. M. Mourao and J. P. Nunes.
    Journal of Physics A: Mathematical and Theoretical (Fast Track Communication) 48 (2015), 22FT01.
    DOI: 10.1088/1751-8113/48/22/22FT01
  11. [MN15] On complexified analytic Hamiltonian flows and geodesics on the space of Kaehler metrics.
    By J. M. Mourao and J. P. Nunes.
    Int. Math. Res. Notices 2015 (2015) 10624-10656.
    DOI: 10.1093/imrn/rnv004
  12. [KMN14] Coherent state transforms and the Mackey-Stone-Von Neumann theorem.
    By W. Kirwin, J.Mourao and J.P. Nunes.
    J. Math. Phys. 55 (2014), 102101.
    DOI: 10.1063/1.4896816
  13. [KMN13a] Complex time evolution in geometric quantization and generalized coherent state transforms.
    By W. Kirwin, J.Mourao and J.P. Nunes.
    J. Funct. Anal. 265 (2013) 1460-1493.
    DOI: 10.1016/j.jfa.2013.06.021
  14. [KMN13b] Degeneration of Kaehler structures and half-form quantization of toric varieties.
    By W. Kirwin, J.Mourao and J.P. Nunes.
    J. Symplectic Geom. 11 (2013) 603-643.
    DOI: 10.4310/JSG.2013.v11.n4.a4
  15. [B13] Quantization of some moduli spaces of parabolic vector bundles on CP^1,
    By I. Biswas, C. Florentino, J.Mourao and J.P. Nunes.
    Ann. Glob. Anal. and Geometry 43 (2013) 161-176.
    DOI: 10.1007/s10455-012-9340-2
  16. [B11] Toric Kaehler metrics seen from infinity, quantization and compact tropical amoebas,
    By T. Baier, C.Florentino, J.Mourao and J.P. Nunes.
    Journ. Diff. Geom. Vol. 89 (2011) 411-454.
    http://projecteuclid.org/euclid.jdg/1335207374
  17. [BMN10] Quantization of Abelian Varieties: distributional sections and the transition from Kaehler to real polarizations,
    By T. Baier, J.Mourao and J.P. Nunes.
    Journ. Funct. Anal. Vol. 258 (2010) 3388-3412.
    DOI: 10.1016/j.jfa.2010.01.023
  18. [F06] On the BKS pairing for Kahler quantizations of the cotangent bundle of a Lie group.
    By C. Florentino, P. Matias, J. Mourao and J.P. Nunes.
    Journ. Funct. Anal. Vol. 234 (2006) 180-198.
  19. [FMN06] Theta Functions, Geometric Quantization and Unitary Schottky Bundles,
    By C.Florentino, J.Mourao and J.P. Nunes.
    In "The Geometry of Riemann Surfaces and Abelian Varieties", Proceedings of the III Iberoamerican Congress on Geometry, Salamanca, June 2004, ed. J. M. M.Porras, S. Popescu and R. E. Rodriuez, Contemporary Mathematics Vol. 397 (2006) 55-73.
  20. [F05] Geometric quantization, complex structures and the coherent state transform.
    By C. Florentino, P. Matias, J. Mourao and J.P. Nunes.
    J. Funct. Anal. 221 (2005) 303-322
  21. [FMN04] Coherent State Transforms and Theta Functions.
    By C. Florentino, J. Mourao and J.P. Nunes.
    Proc. Steklov Inst. Math. 246 (2004) 283-302.
  22. [FMN03] Coherent State Transforms and Vector Bundles on Elliptic Curves
    By C. Florentino, J. Mourao and J.P. Nunes.
    J. Funct. Anal. 204 (2003) 355-398.
  23. [FMN02] Coherent State Transforms and Abelian Varieties,
    By C. Florentino, J. Mourao nd J.P. Nunes.
    J. Funct. Anal. 192 (2002) 410-424.
  24. [A00] Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context.
    By Abhay Ashtekar, Donald Marolf, Jose Mourao, Thomas Thiemann.
    Class. Quant. Grav. 17 (2000) 4919-4940.
  25. [MTV99] Physical properties of quantum field theory measures.
    By J.M. Mourao, T. Thiemann, J.M. Velhinho.
    J. Math. Phys. 40 (1999) 2337-235.
  26. [MMT97] The Status of diffeomorphism superselection in Euclidean (2+1) gravity.
    By Donald Marolf, Jose Mourao, Thomas Thiemann.
    J. Math. Phys. 38 (1997) 4730-4740.
  27. [A97] SU(N) quantum Yang-Mills theory in two-dimensions: A Complete solution.
    By Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf, Jose Mourao, Thomas Thiemann.
    J. Math. Phys. 38 (1997) 5453-5482.
  28. [A96] Coherent state transforms for spaces of connections.
    By Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf, Jose Mourao, Thomas Thiemann.
    J. Funct. Anal. 135 (1996) 519-551.
  29. [LMT96] Complexification of gauge theories.
    By R. Loll, J.M. Mourao, J.N. Tavares.
    J. Geom. Phys. 18 (1996) 1-24.
  30. [A95a] Quantization of diffeomorphism invariant theories of connections with local degrees of freedom.
    By Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf, Jose Mourao, Thomas Thiemann.
    J. Math. Phys. 36 (1995) 6456-6493.
    Topcite = 100+
  31. [A95b] A Manifestly gauge invariant approach to quantum theories of gauge fields.
    By Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf, Jose Mourao, Thomas Thiemann.
    In *Cambridge 1994, Proceedings, Geometry of constrained dynamical systems* 60-86, and Pennsylvania State U. University Park - CGPG- 94-08-02 (94/07) 27 .
  32. [MM95] On the support of the Ashtekar-Lewandowski measure.
    By Donald Marolf & Jose M. Mourao.
    Commun. Math. Phys. 170 (1995) 583-606.
    Topcite = 50+
  33. [LMT95] Generalized coordinates on the phase space of Yang-Mills theory.
    By R. Loll, J.M. Mourao, J.N. Tavares.
    Class. Quant. Grav.12 (1995) 1191-1198.
  34. [AMM94] Integration on the space of connections modulo gauge transformations.
    By Abhay Ashtekar, Donald Marolf, Jose Mourao.
    CGPG-94-3-4 (n.d.) 27p. http://inspirehep.net/record/360973
  35. [LMT94] Symplectic reduction via complex group actions.
    By R. Loll, J.M. Mourao, J.N. Tavares.
    Monepulciano Workshop 1993:291-30, World Scientific, 1994.
  36. [BMP93] Quantum gravity and the large scale structure of the universe.
    By O. Bertolami, J.M. Mourao, J. Perez-Mercader.
    Phys.Lett.B311 (1993) 27-33.
  37. [B93] On the cosmology of massive vector fields with SO(3) global symmetry.
    By M.C. Bento, O. Bertolami, P.V. Moniz, J.M. Mourao, P.M. Sa.
    Class.Quant.Grav.10 (1993) 285-298.
  38. [MMS93] The Dynamics of a flat Friedmann-Robertson-Walker inflationary model in the presence of gauge fields.
    By P.V. Moniz, J.M. Mourao, P.M. Sa.
    Class.Quant.Grav.10 (1993) 517-534.
  39. [M93] Symmetric solutions of Einstein Yang-Mills equations.
    By Jose Mourao.
    In: *Evora 1992, Proceedings, Classical and quantum gravity*, World Scientific, 1993, 217-221.
  40. [B93] Friedmann-Robertson-Walker cosmologies in the presence of massive vector fields.
    By P.M. Sa, M.C. Bento, O. Bertolami, P.V. Moniz, J.M. Mourao.
    In: *Evora 1992, Proceedings, Classical and quantum gravity*, World Scientific, 1993, 251-255.
  41. [BMP93] Explaining the large scale structure of the universe using quantum gravity.
    By O. Bertolami, J.M. Mourao, J. Perez-Mercader.
    In: *Evora 1992, Proceedings, Classical and quantum gravity*, World Scientific, 1993, 280-284.
  42. [BKM92a] Stability of compactification in Einstein Yang-Mills theories after inflation.
    By O. Bertolami, Yu.A. Kubyshin, J.M. Mourao.
    Phys.Rev.D45 (1992) 3405-3414.
  43. [BKM92b] Explaining the large scale structure of the universe using quantum gravity.
    By O. Bertolami, J.M. Mourao, J. Perez-Mercader.
    In: Proceedings of the VI Marcel Grossmann Meeting, Kyoto, Japan, 1991, World Scientific, 1992, 625-628
  44. [BM91] The Ground state wave function of a radiation dominated universe.
    By O. Bertolami & J.M. Mourao.
    Class.Quant.Grav.8 (1991) 1271-1282.
  45. [MM91] Homogeneous and isotropic closed cosmologies with a gauge sector.
    By P.V. Moniz & J.M. Mourao.
    Class.Quant.Grav.8 (1991) 1815-1832.
  46. [B91] Dynamics of euclidenized Einstein Yang-Mills systems with arbitrary gauge groups.
    By O. Bertolami, J.M. Mourao, R.F. Picken, I.P. Volobuev.
    Int.J.Mod.Phys.A6 (1991) 4149-4180.
  47. [HMS91] Inflation in a Bianchi-IX cosmological model. The Roles of primordial shear and gauge fields.
    By A.B. Henriques, J.M. Mourao, P.M. Sa.
    Phys.Lett.B256 (1991) 359-368.
  48. [BKM91] Stability of compactification in Einstein Yang-Mills theories.
    By O. Bertolami, J.M. Mourao, Yu.A. Kubyshin.
    In *Lisbon 1990, Proceedings, The physical universe*. Springer Verlag Lecture Notes in Physics, 383, 1991, 237-252.
  49. [BM91] Euclideanized Einstein Yang-Mills equations, wormholes and the ground state wave function of a radiation dominated universe.
    By O. Bertolami & J.M. Mourao.
    In *Lisbon 1990, Proceedings, The physical universe*. Springer Verlag Lecture Notes in Physics, 383, 1991,
  50. [KMV91] Graphic schemes of root ordering in simple Lie algebras.
    By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
    In: Proceedings of the XVIII International Symposium on Group Theoretical Methods in Physics, Moscow, June, 1990. V.I. Man'ko, V.V. Dodonov (Eds), Nova Science, 1991, 261-264.
  51. [KMV90] Spontaneous compactification with extra timelike dimensions in Einstein Yang-Mills theories.
    By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
    In *Protvino 1989, Proceedings of the XII International Workshop, Problems on high energy physics and field theory. Nauka, Moscow, 1990, 73-76.
  52. [K89] Dimensional reduction of symmetric gauge fields, Higgs models and spontaneous compactification.
    By Yu.A. Kubyshin, J.M. Mourao, G. Rudolph, I.P. Volobuev,
    Soviet Journal of Particles and Nuclei, 20 (1989) 239-265.
  53. [KMV89a] Symmetric spaces and Higgs models in the method of dimensional reduction. 1: potentials of the scalar fields of the reduced theory.
    By I.P. Volobuev, Yu.A. Kubyshin, J.M. Mourao.
    Theor. Math. Phys. 78 (1989) 41-49.
  54. [KMV89b] Symmetric spaces and Higgs models in the method of dimensional reduction. 2: Theories with one multiplet of scalar fields.
    By I.P. Volobuev, Yu.A. Kubyshin, J.M. Mourao.
    Theor. Math. Phys. 78 (1989) 191-200.
  55. [KMV89c] Multidimensional Einstein-Yang-Mills theories: Dimensional reduction, spontaneous compactification and all that.
    By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
    Nucl.Phys.B322 (1989) 531-554.
  56. [KMV89d] Scalar fields in the dimensional reduction scheme for symmetric spaces.
    By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
    Int.J.Mod.Phys.A4 (1989) 151.
  57. [KMV89e] Stable compactifying solutions and new possibilities for model building in symmetric spaces with simple isotropy group.
    By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
    In: *Protvino 1989, Proceedings of the XI International Workshop, Problems in high energy physics and field theory*. Nauka, Moscow, 1989, 25-35.
  58. [KMV88] Spontaneous compactification and dimensional reduction.
    By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
    Phys.Lett.B203 (1988) 349.

Workshop Lectures

Unpublished Work