Lisa Claire Jeffrey
Publications and Preprints
Research articles
- 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
- T. Baird, L. Jeffrey, P. Selick,
The space of commuting n-tuples in SU(2). Illinois J. Math. , to appear.
arXiv:0911.4953.
- 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.
- L. Jeffrey, David Klein, Goldman flows and the Jacobian.
J. Geom. Phys. 59 (2009) 32--34.
arXiv:0802.3403.
- L. Jeffrey, Young-Hoon Kiem, Frances Kirwan,
On the cohomology of hyperkahler quotients. Transformation Groups , 14 (2009) 801-823.
arXiv:0809.4889.
- L. Jeffrey, Augustin-Liviu Mare,
Real loci of based loop groups. Transformation Groups
15 (2010) 134--153.
arXiv:0903.0840.
- 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.
- 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].
- 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].
-
J. Hurtubise, L.C. Jeffrey and R. Sjamaar,
Moduli of framed parabolic sheaves.
Annals of Global Analysis and Geometry 28 (2005) 351-370
- 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].
- 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].
-
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].
- 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].
- 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].
- 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.
- L.C. Jeffrey, Flat connections on oriented 2-manifolds.
Bulletin of the London Mathematical Society 37
(2005) 1-14.
- 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].
- 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].
- 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].
- 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].
- 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].
- 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].
- 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].
- L.C. Jeffrey, The Verlinde formula for parabolic
bundles. J. London Math. Soc. ,
63 (2001) 754-768.
math.AG/0003150 [abs, src, ps, other].
- 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].
- 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.
- 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].
- 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.
- 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.
- L.C. Jeffrey and F.C. Kirwan, Localization and the
quantization conjecture. Topology, 36 (1997), 647-693.
- L.C. Jeffrey and F.C. Kirwan, On localization
and Riemann-Roch numbers for symplectic
quotients. Quart. J. Math.
47 (1996), 165- 186.
- 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.
- 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.
- 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.
- 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.
- L.C. Jeffrey and F.C. Kirwan,
Localization for nonabelian group actions Topology 34
(1995) 291-327.
- L.C. Jeffrey, Extended moduli spaces of flat connections
on Riemann surfaces. Math. Annalen 298, 667-692 (1994).
- 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).
- 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).
- 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).
- L.C. Jeffrey, Chern-Simons-Witten invariants of lens spaces
and torus bundles, and the semiclassical approximation.
Commun. Math. Phys. 147, 563-604 (1992).
- L.C. Jeffrey, On Some Aspects of Chern-Simons Gauge Theory.
D.Phil. Thesis, Oxford University (1991).
- M.F. Atiyah and L.C. Jeffrey, Topological Lagrangians and
cohomology. J. Geom. Phys. 7, 119-136 (1990).
- L.C. Jeffrey, Feasibility of a low-mass binary source progenitor
for PSR 1937+214. Nature 319, 384 (1986).
Books edited
- (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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.)
- L.C. Jeffrey, Review of Introduction to
Symplectic Topology (D. McDuff, D. Salamon),
Bull. Amer. Math. Soc. ,
34 (1997) 441-446.
- 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).
- 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.
- J. Huebschmann, L.C. Jeffrey, Group cohomology construction of
symplectic forms on certain moduli spaces.
International Mathematics Research Notices 6,
245-249 (1994).
- 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).
- 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).
- 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.
- 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