SELECTED PUBLICATIONS:
- Volume Minimizing Cycles In Compact Lie Groups,
American Journal of Math., vol. 117, No. 5, October 1995.
Abstract
is available here.
- Rigidity of the Gauss map in compact Lie groups,
Duke Math. Journal, vol. 77, No.2, February 1995.
Abstract
is available here.
- (Joint with Ernst Heintze)
A splitting theorem for
isoparametric submanifolds in Hilbert spaces,
Journal of Differential Geometry, vol. 45, 1997
Abstract
is available here.
- (Joint with Ernst Heintze)
Homogeneity of infinite dimensional isoparametric
submanifolds,
Annals of Mathematics, vol. 149, 1999.
- (Joint with Gang Tian)
Virasoro Constraints for Quantum Cohomology ,
Journal of Differential Geometry , vol. 50, 1998.
- Elliptic Gromov-Witten invariants and Virasoro conjecture
,
Communications in Mathematical
Physics, vol. 216, 2001.
- Genus-1 Virasoro conjecture on the small phase space
,
"Symplectic Geometry and Mirror Symmetry",
Preceedings of the 4th KIAS Annual International Conference,
World Scientific, (2001), 265-279.
The
DVI
file
of this paper is available here.
- Quantum product on the big phase space and the
Virasoro conjecture
,
Advances in Mathematics, 169 (2002), 313-375.
- Relations among universal equations for Gromov-Witten invariants
,
``Frobenius Manifolds, Quantum Cohomology and Singularities'',
Aspects of Mathematics,
A publication of Max-Planck-Institute for mathematics,
pp 169 - 180, 2004.
The DVI
file
of this paper is available here.
- (Joint with Ernst Heintze and Carlos Olmos)
Isoparametric submanifolds and a Chevalley-type
restriction theorem
,
Studies in Advanced Mathematics, AMS/IP, volume 36,
(2006), 151-190.
The
Postscript
file
of this paper is available here.
- Idempotents on the big phase space ,
Contemporary Mathematics, vol. 403 (2006), 43-66.
The postscript
file
of this paper is available here.
- (Joint with Takashi Kimura)
A Genus 3 Topological Recursion Relation ,
Comm. Math. Phys. 262 (2006), no. 3, 645-661.
The postscript
file
of this paper is available here.
- Gromov-Witten Invariants and Moduli Spaces of Curves
,
Proceedings of the International Congress of Mathematicians in 2006,
vol. II, 791--812.
The DVI
file
of this paper is available here.
- Genus-2 Gromov-Witten invariants for manifolds
with semisimple quantum cohomology ,
American Journal of Mathematics, 129 (2007), no.2, 463-498.
The postscript
file
of this paper is available here.
PREPRINTS:
- Quantum product, topological recursion relations,
and the Virasoro conjecture ,
to appear in Preceedings of Mathematical Society of Japan -
9th International Research Institute
on ``Integrable Systems in
Differential Geometry'', Tokyo, Japan.
The DVI
file
of this paper is available here.
- (Joint with Chuu-Lian Terng)
The Mean Curvature Flow For Isoparametric Submanifolds,
to appear in Duke Math. Journal.
The postscript
file
of this paper is available here.
-
On Certain Vanishing Identities For Gromov-Witten Invariants,
preprint.
The postscript
file
of this paper is available here.
- (Joint with Rahul Pandharipande)
New topological recursion relations ,
preprint.
The postscript
file
of this paper is available here.
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