## UTMS Preprint Series 1999

Number Title of Preprint
UTMS
99-1
Yasuyuki Kawahigashi Quantum Galois correspondence for subfactors
UTMS
99-2
Toru Ikeda A topological approach to the Nielsen's realization problem for Haken 3-manifolds
UTMS
99-3
Hiroki Yagisita Nearly spherically symmetric expanding fronts in a bistable reaction-diffusion equation
UTMS
99-4
Hiroki Yagisita A standing wave solution with a small width near a closed geodesic in reaction-diffusion systems
UTMS
99-5
Masao Jinzenji On the quantum cohomology rings of general type projective hypersurfaces and generalized mirror transformation
UTMS
99-6
Junjiro Noguchi and J\"org Winkelmann Holomorphic curves and integral points off divisors
UTMS
99-7
Chuichiro Hayashi and Koya Shimokawa Heegaard splittings of the pair of the solid torus and the core loop
UTMS
99-8
Toshihiko Masuda Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras
UTMS
99-9
Toshihiko Masuda Extension of automorphisms of a subfactor to the symmetric enveloping algebra
UTMS
99-10
Hiroki Matui Ext and OrderExt classes of certain automorphisms of $C^*$-algebras arising from Cantor minimal systems
UTMS
99-11
Miki Hirano Shintani functions on $GL$(2,C)
UTMS
99-12
Masaharu Ishikawa The bifurcation set of $f : \Bbb C^2 \to \Bbb C$ and the Newton polygons of singularities at infinity
UTMS
99-13
Yasuyuki Kawahigashi, Roberto Longo and Michael M\"uger Multi-interval subfactors and modularity of representations in conformal field theory
UTMS
99-14
Kotaro Tsugawa Well-posedness in the energy space for the Cauchy problem of the coupled system of complex scalar field and Maxwell equations
UTMS
99-15
Vladimir G. Romanov and Masahiro Yamamoto Multidimensional inverse hyperbolic problem by impulsive input and a single boundary measurement
UTMS
99-16
Hiroshige Kajiura, Akishi Kato and Sachiko Ogushi Comments on large $N$ Matrix model
UTMS
99-17
Shigeyuki Morita Structure of the mapping class groups of surfaces: a survey and a prospect
UTMS
99-18
Tibor \'Odor The solution of the Pompeiu problem and the Schiffer conjecture
UTMS
99-19
Jens B\"ockenhauer, David E. Evans and Yasuyuki Kawahigashi On $\alpha$-induction, chiral generators and modular invariants for subfactors
UTMS
99-20
Hiroshi Konno Cohomology rings of toric hyperK\"ahler manifolds
UTMS
99-21
Baasanjaviin Battsengel Rationality of certain boundary components of the compactified Hurwitz schemes
UTMS
99-22
Jin Cheng, Masahiro Yamamoto, and Qi Zhou Unique continuation on a hyperplane for wave equation
UTMS
99-23
Nathanial Brown and Marie Choda Approximation entropies in crossed products with an application to free shifts
UTMS
99-24
Jian Zhang Cross-invariant flows in nonlinear Schr\"odinger equations
UTMS
99-25
Jian Zhang Stability of standing waves for nonlinear Schr\"odinger equations with unbounded potentials
UTMS
99-26
Jian Zhang Sharp criteria for blowup and global existence in nonlinear Schr\"odinger equations under a harmonic potential
UTMS
99-27
Shigeo Kusuoka Approximation of expectation of diffusion process and mathematical finance
UTMS
99-28
Song Liang Laplace approximations for sums of independent random vectors -- the degenerate case {}--
UTMS
99-29
Galtbayar Artbazar and Kenji Yajima The $L^p$-continuity of wave operators for one dimensional Schr\"odinger operators
UTMS
99-30
Kenji Yajima $L^p$-boundedness of wave operators for two dimensional Schr\"odinger operators
UTMS
99-31
Takeo Noda Projectively Anosov flows on $T^3$ with differentiable (UN)stable foliations
UTMS
99-32
T. Akita, N. Kawazumi and T. Uemura Periodic surface automorphisms and algebraic independence of Morita-Mumford classes
UTMS
99-33
Jin Cheng, Victor Isakov,Masahiro Yamamoto and Qi Zhou Lipschitz stability in the lateral Cauchy problem for elasticity system
UTMS
99-34
Yuichi Sugiki and Kiyoshi Takeuchi Notes on the Cauchy-Kowalevski theorem for $\cal E$-modules
UTMS
99-35
Victor Isakov and Masahiro Yamamoto Exact observability in a wave equation by Dirichlet data on subboundary
UTMS
99-36
Victor Isakov and Masahiro Yamamoto Lipschitz stability in a lateral Cauchy problem of a hyperbolic equation with the homogeneous Neumann boundary condition
UTMS
99-37
Zhi L\"u A note on Brieskorn spheres and the generalized Smith conjecture
UTMS
99-38
Zhi L\"u The generalized Smith conjecture of codimension greater than two
UTMS
99-39
Zhi L\"u On involutions with $W(F)=1$
UTMS
99-40
Zhi L\"u $(Z_2)^k$-actions with $\omega(F)=1$
UTMS
99-41
Victor Isakov and Masahiro Yamamoto Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems
UTMS
99-42
J. Cheng, Y.C. Hon, and M. Yamamoto Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\cal R^3$
UTMS
99-43
Jens B\"ockenhauer, David E. Evans and Yasuyuki Kawahigashi Chiral structure of modular invariants for subfactors
UTMS
99-44
Satoshi Ishikawa Symmetric subvarieties in compactifications and the Radon transform on Riemannian symmetric spaces of noncompact type
UTMS
99-45
Masao Jinzenji Completion of the conjecture: quantum cohomology of Fano hypersurfaces
UTMS
99-46
Jian Zhang Construction of minimal blowup solutions for critical nonlinear Schr\"odinger equation under a harmonic potential
UTMS
99-47
Toru Ikeda PL finite group actions on 3-manifolds which are conjugate by homeomorphisms
UTMS
99-48
Siegfried Pr\"ossdorf and Masahiro Yamamoto Discretization methods for the Lavrent'ev regularization
UTMS
99-49
Junjiro Noguchi, J\"org Winkelmann and Katsutoshi Yamanoi The second main theorem for holomorphic curves into semi-Abelian varieties
UTMS
99-50
Tohru Eguchi and Masao Jinzenji Generalization of Calabi-Yau/Landau-Ginzburg correspondence
UTMS
99-51
Toshiyuki Kobayashi Discretely decomposable restrictions of unitary representations of reductive Lie groups -- examples and conjectures
UTMS
99-52
Toru IKeda PL finite group actions on 3-manifolds which agree on the boundaries