Lisa Claire Jeffrey

Publications and Preprints


Research articles

  1. L. Jeffrey, A.-L. Mare, On the image of moment maps of real loci of symplectic manifolds under moment maps, Oberwolfach research report no. 09/2011. To pdf file
  2. T. Baird, L. Jeffrey, P. Selick, The space of commuting n-tuples in SU(2). Illinois J. Math. , to appear. arXiv:0911.4953.
  3. L. Jeffrey, Brendan McLellan, Eta invariants and anomalies in $U(1)$ Chern-Simons theory. To appear in Proceedings of the Conference Chern-Simons Gauge Theory: twenty years after. arXiv:1004.2913.
  4. L. Jeffrey, David Klein, Goldman flows and the Jacobian. J. Geom. Phys. 59 (2009) 32--34. arXiv:0802.3403.
  5. L. Jeffrey, Young-Hoon Kiem, Frances Kirwan, On the cohomology of hyperkahler quotients. Transformation Groups , 14 (2009) 801-823. arXiv:0809.4889.
  6. L. Jeffrey, Augustin-Liviu Mare, Real loci of based loop groups. Transformation Groups 15 (2010) 134--153. arXiv:0903.0840.
  7. L. Jeffrey, Brendan McLellan, Non-abelian localization for U(1) Chern-Simons theory. To appear in Proceedings of the Conference ``Geometric Aspects of Analysis and Mechanics" (in honour of Hans Duistermaat on his 65th birthday). arXiv:0903.5093.
  8. L.C. Jeffrey, Y.-H. Kiem, F.C. Kirwan and J. Woolf, Intersection pairings on singular moduli spaces of vector bundles over a Riemann surface and their partial desingularisations. Transformation Groups 11 (2006) 439-494. href="http://xxx.lanl.gov/form/math.AG">math.SG/0505362[abs, src, ps, other].
  9. M. Harada, T. Holm, L. Jeffrey, A.-L. Mare, Connectivity properties of moment maps on based loop groups. Geometry and Topology 10 (2006) 1607-1634. href="http://xxx.lanl.gov/form/math.SG">math.SG/0503684[abs, src, ps, other].
  10. J. Hurtubise, L.C. Jeffrey and R. Sjamaar, Moduli of framed parabolic sheaves. Annals of Global Analysis and Geometry 28 (2005) 351-370
  11. M. Hamilton and L.C. Jeffrey, Symplectic fibrations and Riemann-Roch numbers of reduced spaces. Quart. J. Math. 56 (2005) 541-552. href="http://xxx.lanl.gov/form/math.SG">math.SG/0403004[abs, src, ps, other].
  12. L.C. Jeffrey and J.-H. Song, Formulas for intersection numbers in q-Hamiltonian reduced spaces. Pure and Applied Mathematics Quarterly 2 , 837-865 (2006). href= "songartpublished.pdf" href="http://xxx.lanl.gov/form/math.SG">math.SG/0312345[abs, src, ps, other].
  13. J. Hurtubise, L.C. Jeffrey and R. Sjamaar, Group-valued implosion and parabolic structures. Amer. J. Math. 128 (2006) 167-214. href="http://xxx.lanl.gov/form/math.SG">math.SG/0402464[abs, src, ps, other].
  14. Nan-Kuo Ho and Lisa C. Jeffrey , The volume of the moduli space of flat connections on a nonorientable 2-manifold. Commun. Math. Phys. 256 (2005) 539--564. href="http://xxx.lanl.gov/form/math.SG">math.SG/0307404[abs, src, ps, other].
  15. L.C. Jeffrey, A.-L. Mare and J. Woolf, The Kirwan map, equivariant Kirwan maps and their kernels. J. Reine Angew. Math. 589> (2005) 105-127. href="http://xxx.lanl.gov/form/math.SG">math.SG/0211297[abs, src, ps, other].
  16. L.C. Jeffrey and Nan-Kuo Ho, Representations of fundamental groups of nonorientable 2-manifolds. Algebraic Structures and Moduli Spaces (J. Hurtubise and E. Markman, eds.), 139-148.
  17. L.C. Jeffrey, Flat connections on oriented 2-manifolds. Bulletin of the London Mathematical Society 37 (2005) 1-14.
  18. Lisa C. Jeffrey and Mikhail Kogan, Localization theorems by symplectic cuts. The Breadth of Symplectic and Poisson Geometry (Festschrift in Honor of Alan Weinstein), J. Marsden, T. Ratiu, eds. Birkhauser ( Progress in Mathematics 232 (2005) 303-326. href="http://xxx.lanl.gov/form/math.SG">math.SG/0310222[abs, src, ps, other].
  19. T.S. Holm, L.C. Jeffrey and R. Goldin, Distinguishing the chambers of the moment polytope. J. Sym. Geom. , 2 (2003) 109-132. href="http://xxx.lanl.gov/form/math.SG">math.SG/0302265[abs, src, ps, other].
  20. L.C. Jeffrey and A.-L. Mare, Products of conjugacy classes in $SU(2)$. Canad. Math. Bull. 48 (2005) 90-96. href="http://xxx.lanl.gov/form/math.GR">math.GR/0211424[abs, src, ps, other].
  21. L.C. Jeffrey and A.-L. Mare, The kernel of the equivariant Kirwan map and the residue formula. Quart. J. Math. 54 (2003) 435-444 . href="http://xxx.lanl.gov/form/math.SG">math.SG/0211119[abs, src, ps, other].
  22. L.C. Jeffrey, The residue formula and the Tolman-Weitsman theorem. J. Reine Angew. Math. 562 (2003) 51-58 . href="http://xxx.lanl.gov/form/math.SG">math.SG/0204051 [abs, src, ps, other].
  23. V. Guillemin, L.C. Jeffrey and R. Sjamaar, Symplectic implosion. Transformation Groups 7 (2002) 155-184. href="http://xxx.lanl.gov/form/math.SG">math.SG/0101159 [abs, src, ps, other].
  24. L.C. Jeffrey, Y.-H. Kiem, F.C. Kirwan and J. Woolf, Cohomology pairings on singular quotients in geometric invariant theory. Transformation Groups 8 (2003) 217-259. href="http://xxx.lanl.gov/form/math.AG">math.AG/0101079 [abs, src, ps, other].
  25. L.C. Jeffrey, The Verlinde formula for parabolic bundles. J. London Math. Soc. , 63 (2001) 754-768. math.AG/0003150 [abs, src, ps, other].
  26. L.C. Jeffrey and J. Hurtubise, Representations with weighted frames and framed parabolic bundles. Canad. J. Math. 52 no. 6 (2000) 1235-1268. math.SG/9906026[abs, src, ps, other].
  27. L.C. Jeffrey and J. Weitsman, Symplectic geometry of the moduli space of flat connections on a Riemann surface: inductive decompositions and vanishing theorems. Canad. J. Math. 52 no. 3 (2000) 582-612.
  28. L.C. Jeffrey and F.C. Kirwan, Intersection pairings in moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface. Preprint alg-geom/9608029; Annals of Math. , 148 , 109-191 (1998). alg-geom/9608029 [abs, src, ps, other].
  29. K. Guruprasad, J. Huebschmann, L.C. Jeffrey and A. Weinstein, Group systems, groupoids, and moduli spaces of parabolic bundles. Duke Math. J. 89 (1997) 377-412.
  30. L.C. Jeffrey and F.C. Kirwan, Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface, Electronic Res. Notices of the AMS 1 (1995) 57-71.
  31. L.C. Jeffrey and F.C. Kirwan, Localization and the quantization conjecture. Topology, 36 (1997), 647-693.
  32. L.C. Jeffrey and F.C. Kirwan, On localization and Riemann-Roch numbers for symplectic quotients. Quart. J. Math. 47 (1996), 165- 186.
  33. L.C. Jeffrey and J. Weitsman, A perfect Morse function on the moduli space of flat connections on a Riemann surface. Compositio Math. 105 (1997) 147-151.
  34. L.C. Jeffrey and J. Weitsman, Toric structures on the moduli space of flat connections on a Riemann surface II: inductive decomposition of the moduli space. Math. Annalen 307 (1997) 93-108.
  35. L.C. Jeffrey, Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds. Duke Math. J. 77 (1995) 407-429.
  36. L.C. Jeffrey, Symplectic forms on moduli spaces of flat connections on 2-manifolds. In Proceedings of the Georgia International Topology Conference (Athens, GA, 1993), ed. W. Kazez, Amer. Math. Soc./International Press AMS/IP Studies in Advanced Mathematics 2 (1997) 268-281.
  37. L.C. Jeffrey and F.C. Kirwan, Localization for nonabelian group actions Topology 34 (1995) 291-327.
  38. L.C. Jeffrey, Extended moduli spaces of flat connections on Riemann surfaces. Math. Annalen 298, 667-692 (1994).
  39. L.C. Jeffrey and J. Weitsman, Toric structures on the moduli space of flat connections on a Riemann surface: volumes and the moment map. Advances in Mathematics 109, 151-168 (1994).
  40. L.C. Jeffrey and J. Weitsman, Half density quantization of the moduli space of flat connections and Witten's semiclassical manifold invariants. Topology 32, 509-529 (1993).
  41. L.C. Jeffrey and J. Weitsman, Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula. Commun. Math. Phys. 150, 593-630 (1992).
  42. L.C. Jeffrey, Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation. Commun. Math. Phys. 147, 563-604 (1992).
  43. L.C. Jeffrey, On Some Aspects of Chern-Simons Gauge Theory. D.Phil. Thesis, Oxford University (1991).
  44. M.F. Atiyah and L.C. Jeffrey, Topological Lagrangians and cohomology. J. Geom. Phys. 7, 119-136 (1990).
  45. L.C. Jeffrey, Feasibility of a low-mass binary source progenitor for PSR 1937+214. Nature 319, 384 (1986).

Books edited

  1. (with P. Deligne, P. Etingof, D. Freed, D. Kazhdan, J. Morgan, D. Morrison, E. Witten, eds.) Quantum Fields and Strings: A Course for Mathematicians Proceedings of Program on Quantum Field Theory (IAS, Princeton, NJ, 1996-7), American Mathematical Society, Providence, RI (1999).

    Review articles and announcements

    1. Book review: Integrable Systems: From Classical to Quantum by J. Harnad and J. Hurtubise, Canadian Mathematical Society Notes, vol. 34 no. 3 (April 2002) p. 5-6.
    2. L.C. Jeffrey, Hamiltonian group actions and symplectic reduction. In Symplectic Geometry and Topology , ed. Y. Eliashberg and L. Traynor, American Mathematical Soc., 2999, p. 295-333.
    3. E. Witten, Lecture 10: Quantum gauge theories in two dimensions and intersection theory on moduli spaces, lecture notes by L. Jeffrey (in proceedings of Program on Quantum Field Theory, IAS), American Mathematical Society, 1999.
    4. Solution to Problem 1 of December problem set, notes by L. Jeffrey and S. Wu, 1997 (in proceedings of Program on Quantum Field Theory, IAS)., American Mathematical Society, 1999.
    5. L. Faddeev, notes of five lectures by L. Jeffrey, 1996 (to appear in proceedings of Program on Quantum Field Theory, IAS), American Mathematical Society, 1999: ~~Lecture 1: Reminder of basics of quantum mechanics and canonical quantization in Hilbert space. ~~Lecture 2: The harmonic oscillator and free fields. ~~Lecture 3: Comments on scattering. ~~Lecture 4: Singular Lagrangians ~~Lecture 5: Quantization of Yang-Mills fields.
    6. L.C. Jeffrey and F.C. Kirwan, Applications of equivariant cohomology to symplectic geometry and moduli spaces, in Geometric Analysis and Lie Theory in Mathematics and Physics (A. Carey and M. Murray, ed.), Australian Mathematicsl Society Lecture Series 11 , Cambridge Univ. Press (1997) 1-19. (Review article.)
    7. L.C. Jeffrey, Review of Introduction to Symplectic Topology (D. McDuff, D. Salamon), Bull. Amer. Math. Soc. , 34 (1997) 441-446.
    8. L.C. Jeffrey, Quantum field theory, equivariant cohomology, symplectic geometry and moduli spaces of vector bundles on Riemann surfaces. In Proceedings on Geometry and Physics (Aarhus/Odense, Denmark, July 1995), eds. J. Andersen, J. Dupont, H. Pedersen and A. Swann, Marcel Dekker (Lecture Notes in Pure and Applied Mathematics), 33-58 (1997).
    9. L.C. Jeffrey and F.C. Kirwan, A note on localization and the Riemann-Roch formula. In Proceedings of the Conference \lq\lq Functional analysis on the eve of the twenty-first century'' in honour of the eightieth birthday of I.M. Gelfand (Rutgers Univ., October 1993) (Birkhäuser, Progress in Mathematics 132 (1995) 283-299.
    10. J. Huebschmann, L.C. Jeffrey, Group cohomology construction of symplectic forms on certain moduli spaces. International Mathematics Research Notices 6, 245-249 (1994).
    11. L.C. Jeffrey, J. Weitsman, Torus actions and the topology and symplectic geometry of flat connections on 2-manifolds. In the Proceedings of the Taniguchi Foundation Symposium on Low Dimensional Topology and Topological Field Theory (Kyoto, January 1993), ed. K. Fukaya, M. Furuta, T. Kohno and D. Kotschick (World Scientific, 1994).
    12. L.C. Jeffrey, J. Weitsman, Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a two-manifold. In Proceedings of NATO Advanced Research Workshop on Low Dimensional Topology and Quantum Field Theory (Isaac Newton Institute, Cambridge, September 1992), ed. H. Osborn (NATO ASI Series B: Physics, vol. 315), Plenum Press, 1993; and in the proceedings of the AMS Summer Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups (Mt. Holyoke, June 1992) (ed. P. Sally), Contemporary Mathematics 175 (1995).
    13. L.C. Jeffrey, J. Weitsman, Geometric quantization and the stationary phase approximation to the Witten-Reshetikhin-Turaev invariants. In Proceedings of the NATO Advanced Research Workshop on Low Dimensional Topology and Quantum Field Theory (Isaac Newton Institute, Cambridge, September 1992), ed. H. Osborn (NATO ASI Series B: Physics, vol. 135), Plenum Press, 1993.
    14. E. Witten (notes by L. Jeffrey), New results in Chern-Simons gauge theory. In Proc. of the LMS Symposium on the Geometry of Low Dimensional Manifolds (Durham, 1989), ed. S.K. Donaldson and C.B. Thomas (LMS Mathematics Lecture Series vol. 150), 1991.

    To Lisa Jeffrey's homepage
    To Univ. of Toronto Department of Mathematics

    September 20, 2000