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European Mathematical Society Publishing House
2024-03-29 14:57:43
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https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=28&iss=1&update_since=2024-03-29
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
28
1992
1
Multiple Solutions for a Class of Non-local Problems for Semilinear Elliptic Equations
Jan
Chabrowski
University of Queensland, ST. LUCIA, QLD., AUSTRALIA
The purpose of this papers is to investigate the solvability of a class of non-local problems in the sense of Bitsadze-Samarskii (see (N1)). We prove the existence of multiple solutions under the assumptions of the Ambrosetti-Prodi type on a nonlinear function g.
Partial differential equations
General
1
11
10.2977/prims/1195168852
http://www.ems-ph.org/doi/10.2977/prims/1195168852
On the Whitney-Schwartz Theorem
Takao
Kakita
Waseda University, TOKYO, JAPAN
Functional analysis
General
13
20
10.2977/prims/1195168853
http://www.ems-ph.org/doi/10.2977/prims/1195168853
Noether's Inequality for Non-complete Algebraic Surfaces of General Type
Shuichiro
Tsunoda
Osaka University Graduate School of Science, OSAKA, JAPAN
De-Qi
Zhang
Osaka University Graduate School of Science, OSAKA, JAPAN
Algebraic geometry
General
21
38
10.2977/prims/1195168854
http://www.ems-ph.org/doi/10.2977/prims/1195168854
Orientations of Spin Bundles and Symplectic Cobordism
Vassily
Gorbunov
Siberian Branch of the Russian Academy of Sciences, NOVOSIBIRSK, RUSSIAN FEDERATION
Nigel
Ray
University of Manchester, MANCHESTER, UNITED KINGDOM
We analyse certain cofibrations of projective spaces in terms of Thorn complexes of Spin bundles, and by applying the symplectic cobordism functor we are able to deduce new relations amongst the elements ϕi in the symplectic bordism ring.
Algebraic topology
General
39
55
10.2977/prims/1195168855
http://www.ems-ph.org/doi/10.2977/prims/1195168855
Quantum Deformation of Classical Groups
Takahiro
Hayashi
Nagoya University, NAGOYA, JAPAN
We construct coordinate algebras of quantum orthogonal, special orthogonal and symplectic groups using M. Jimbo's solutions of the Yang-Baxter equation and determine their Peter-Weyl decompositions. To do this, we study some class of bialgebras and their group-like elements (quantum determinants). A new realization of the universal R-matrix is also given.
Associative rings and algebras
General
57
81
10.2977/prims/1195168856
http://www.ems-ph.org/doi/10.2977/prims/1195168856
Pairings and Copairings in the Category of Topological Spaces
Nobuyuki
Oda
Fukuoka University, FUKUOKA, JAPAN
We prove a theorem which gives a relation between the pairings of homotopy sets induced by pairings and copairings of topological spaces. We obtain many results on commutativity of elements of homotopy sets as immediate consequences of the theorem. As a further application of the theorem, we prove a generalization of a theorem of Sugawara on the existence of inverse element in the homotopy set when the target space is a Hopf space. We also prove the dual result which is a generalization of a theorem of Hilton, Mislin and Roitberg.
Algebraic topology
General
83
97
10.2977/prims/1195168857
http://www.ems-ph.org/doi/10.2977/prims/1195168857
On the Injectivity of Cycle Maps
Morihiko
Saito
Kyoto University, KYOTO, JAPAN
Algebraic geometry
General
99
127
10.2977/prims/1195168858
http://www.ems-ph.org/doi/10.2977/prims/1195168858
Some Remarks on Microhypoelliptic Operators of Infinitely Degenerate Type
Tatsushi
Morioka
Osaka University, OSAKA, JAPAN
Partial differential equations
General
129
138
10.2977/prims/1195168859
http://www.ems-ph.org/doi/10.2977/prims/1195168859
Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula
Toshie
Takata
Kyushu University, FUKUOKA, JAPAN
We obtain a projectively linear representation of SL(2, Z) from invariants defined by Reshetikhin and Turaev and prove 'Verlinde's formula' for SU(2) based on the computation of invariants. Using an algebra associated with 'Ising model', we constract invariants of links and 3-manifolds.
Manifolds and cell complexes
General
139
167
10.2977/prims/1195168860
http://www.ems-ph.org/doi/10.2977/prims/1195168860