[38] Eugene Lerman,
Categories of symplectic toric manifolds as Picard stack torsors
www.arXiv.org/abs/0908.2783
[37] Eugene Lerman and Anton Malkin,
Hamiltonian group actions on symplectic Deligne-Mumford stacks and
toric orbifolds
www.arXiv.org/abs/0908.0903
[36] Yael Karshon and Eugene Lerman,
Non-compact symplectic toric manifolds.
www.arXiv.org/abs/0907.2891
Hand-written notes of
a talk on the paper.
[35] Eugene Lerman and Anton Malkin,
Equivariant differential characters and symplectic reduction
Comm. Math. Phys. 289 (2009), no. 2, 777--801.
www.arXiv.org/abs/0807.0058
[34] Eugene Lerman, Orbifolds as stacks?
L'Enseign. Math. (2) 56 (2010), no. 3-4, 315--363
www.arXiv.org/abs/0806.4160
[33] Eugene Lerman and Anton Malkin, Differential
characters as stacks and prequantization
J. Gokova
Geom. Topol. GGT 2 (2008), 14--39.
www.arXiv.org/abs/0710.4340
[32] D. Burns, V. Guillemin and E. Lerman,
Kaehler metrics on singular toric varieties,
Pacific J. Math. 238 (2008), no. 1, 27--40.
www.arXiv.org/abs/math/0501311
[31] D. Burns, V. Guillemin and E. Lerman,
Toric symplectic singular spaces I: isolated singularities
Conference on Symplectic Topology.
J. Symplectic Geom. 3 (2005), no. 4, 531--543.
www.arXiv.org/abs/math/0501310
[30] Eugene Lerman,
Gradient flow of the norm squared of a moment map
L'Enseign. Math. (2) 51 (2005), no. 1-2, 117--127.
www.arXiv.org/abs/math/0410568
[29] Viktor Ginzburg and Eugene Lerman,
Existence of relative periodic orbits near relative equilibria,
Math. Res. Lett. 11 (2004), no. 2-3, 397--412.
www.arXiv.org/abs/math/0402264
[28] V. Guillemin and E. Lerman,
Melrose--Uhlmann projectors, the metaplectic representation and symplectic cuts
J. Differential Geom. 61 (2002), no. 3, 365--396.
www.arXiv.org/abs/math/0302150
[27] Eugene Lerman, Contact fiber bundles
J. Geom. Phys. 49 (2004), no. 1, 52--66
www.arXiv.org/abs/math/0301137
[26] D. Burns, V. Guillemin and E. Lerman,
Kaehler cuts.
www.arXiv.org/abs/math/0212062
[25] Eugene Lerman, On maximal tori in the
contactomorphism groups of regular contact manifolds.
www.arXiv.org/abs/math/0212043
[24] Eugene Lerman, Maximal tori in the
contactomorphism groups of circle bundles over Hirzebruch surfaces
Math. Res. Lett. 10 (2003), no. 1, 133--144.
www.arXiv.org/abs/math/0204334/
[23] Eugene Lerman,
Homotopy groups of K-contact toric manifold
Trans. Amer. Math. Soc. 356 (2004), no. 10, 4075--4083 ,
www.arXiv.org/abs/math/0204064 .
[22] Eugene Lerman, Geodesic flows and contact toric manifolds,
Symplectic geometry of
integrable Hamiltonian systems (Barcelona, 2001), 175--225,
Adv. Courses Math. CRM Barcelona, Birkhauser, Basel, 2003.
www.arXiv.org/abs/math/0201230 .
These are notes for a course on contact manifolds and torus actions delivered at the summer school on Symplectic Geometry of Integrable Hamiltonian Systems at Centre de Recerca Matematica in Barcelona in July 2001.
[21]
Lerman, E., Contact toric manifolds,
J. Symplectic Geom. 1 (2003), no. 4, 785--828.
www.arXiv.org/abs/
[20] Lerman, E.,
Shirokova, N., Completely integrable torus actions on symplectic cones
Math
Research Letters, 9 (2002), no. 1, 105--115.
preprint: Toric integrable geodesic flows www.arXiv.org/abs/math.DG/0011139
.
[19] Lerman, E.,
A convexity theorem for torus actions on contact manifolds
Illinois J. Math , 46 (2002), no. 1, 171--184.
www.arXiv.org/abs/math.SG/0012017
[18] Lerman, E.,
Contact Cuts, Israel J. Math , 124
(2001), 77--92;
www.arXiv.org/abs/math.SG/000204
.
[17] 2001k:53163
Lerman, E.; Tolman, S. Intersection cohomology of S^1
symplectic quotients and small resolutions. Duke Math. J.
103 (2000), no. 1, 79--99.
[16] 2001j:53112
Lerman, Eugene; Willett, Christopher, The topological structure of
contact and symplectic quotients, Internat. Math. Res. Notices
2001, no. 1, 33--52.
[15] 2000b:37066 Lerman,
Eugene; Tokieda, Tadashi, On relative normal modes
C. R. Acad. Sci. Paris Sér. I Math. 328
(1999), no. 5, 413--418.
[14] 99j:58077
Lerman, E.; Singer, S.F.,
Stability and persistence of relative equilibria at singular values of
the moment map, Nonlinearity 11
(1998), no. 6, 1637--1649. [original article]
(access may require subscription to Nonlinearity ).
Early version of this paper was posted as dg-ga/9706009 (see below)
[13]
99a:58069
Lerman, Eugene; Meinrenken,
Eckhard; Tolman, Sue; Woodward,
Chris, Nonabelian convexity by symplectic cuts.
Topology 37 (1998), no. 2,
245--259. postscript file
[12] 98i:58085 Bates, L.; Lerman,
E., Proper group actions and symplectic stratified spaces.
Pacific J. Math. 181 (1997), no. 2,
201--229. [original article]
[11] 98e:58077
Karshon,
Yael; Lerman,
Eugene, The centralizer of invariant functions and division
properties of the moment map.
Illinois J. Math. 41 (1997), no. 3,
462--487. 58F05
(57S15 57S25) gzip'ed dvi file
[10] 98d:58074
Guillemin, Victor; Lerman, Eugene; Sternberg,
Shlomo, Symplectic fibrations and multiplicity diagrams.
Cambridge University Press, Cambridge, 1996. xiv+222
pp. ISBN: 0-521-44323-7 58F06
(17B99 22E45 58F05 81S10)
[9] 98a:57043 Lerman, Eugene;
Tolman, Susan, Hamiltonian torus actions on symplectic orbifolds and
toric varieties. Trans. Amer. Math. Soc. 349
(1997), no. 10, 4201--4230. [original article]
[8] 97g:57058 Lerman, Eugene, A
compact symmetric symplectic non-Kaehler manifold.
Math. Res. Lett. 3 (1996), no. 5,
587--590. 57S25 (53C15 57R15
57S15)
[7]97c:32045 Lerman, Eugene;
Sjamaar, Reyer, Reductive group actions on Kähler manifolds.
Conservative systems and quantum chaos (Waterloo, ON, 1992),
85--92, Fields Inst. Commun., 8, Amer. Math. Soc.,
Providence, RI, 1996. 32M05 (58F05)
[6] 96f:58062 Lerman, Eugene Symplectic cuts.
Math. Res. Lett. 2 (1995), no. 3,
247--258. 58F05 (57S25)
dvi ,
LaTeX
[5] 95h:58054 Lerman, Eugene;
Montgomery, Richard; Sjamaar, Reyer, Examples of singular reduction.
Symplectic geometry,
127--155, London Math. Soc. Lecture Note Ser., 192, Cambridge
Univ. Press, Cambridge, 1993. 58F05 (58A35)
[4] 92g:58036Sjamaar, Reyer;
Lerman, Eugene; Stratified symplectic spaces and reduction.
Ann. of Math. (2) 134 (1991), no. 2,
375--422. 58F05 (57R15)
[3] 92f:58058
Guillemin, V.; Lerman,
E.; Sternberg, S., On the Kostant multiplicity formula.
J. Geom. Phys. 5 (1988), no. 4,
721--750 (1989). 58F05
(22E46 22E60 58F06 58G10)
[2] 90k:58070 Lerman, Eugene, On
the centralizer of invariant functions on a Hamiltonian $G$-space.
J. Differential Geom. 30 (1989),
no. 3, 805--815.
[1] 89k:53033
Lerman,
Eugene, How fat is a fat bundle?
Lett. Math. Phys. 15 (1988), no. 4,
335--339.
last changed September 1, 2010