scholarly journals Example of singular reduction in symplectic diffeology

2015 ◽  
Vol 144 (3) ◽  
pp. 1309-1324 ◽  
Author(s):  
Patrick Iglesias-Zemmour
Keyword(s):  
Singular Reduction

scholarly journals Singular reduction of resonant Hamiltonians

Nonlinearity ◽  
2018 ◽  
Vol 31 (6) ◽  
pp. 2854-2894 ◽  
Author(s):  
Kenneth R Meyer ◽  
Jesús F Palacián ◽  
Patricia Yanguas
Keyword(s):  
Singular Reduction

scholarly journals SINGULAR REDUCTION AND QUANTIZATION

Topology ◽  
1999 ◽  
Vol 38 (4) ◽  
pp. 699-762 ◽  
Author(s):  
Eckhard Meinrenken ◽  
Reyer Sjamaar
Keyword(s):  
Singular Reduction

scholarly journals HOLOMORPHIC QUANTIZATION FORMULA IN SINGULAR REDUCTION

1999 ◽  
Vol 01 (03) ◽  
pp. 281-293 ◽  
Author(s):  
WEIPING ZHANG
Keyword(s):  
Morse Inequalities ◽  
Singular Reduction ◽  
Holomorphic Morse Inequalities

We show that the holomorphic Morse inequalities proved by Tian and the author [8, 9] are in effect equalities by refining the analytic arguments in [8, 9].

The singular reduction of 1,8-bis-hydroxymethylnaphthalene to a benzonorcaradiene by LiAlH4

1997 ◽  
Vol 38 (47) ◽  
pp. 8161-8164 ◽  
Author(s):  
Janeta V. Popovici-Müller ◽  
Thomas A. Spencer
Keyword(s):  
Singular Reduction

Singular reduction of Nambu–Poisson manifolds

2017 ◽  
Vol 14 (09) ◽  
pp. 1750128 ◽  
Author(s):  
Apurba Das
Keyword(s):  
Poisson Manifold ◽  
Reduction Theorem ◽  
Poisson Manifolds ◽  
Singular Case ◽  
Hamiltonian Flow ◽  
Reduction Procedure ◽  
Singular Reduction ◽  
Poisson Reduction ◽  
Reduced Space ◽  
Suitable Notion

The version of Marsden–Ratiu Poisson reduction theorem for Nambu–Poisson manifolds by a regular foliation have been studied by Ibáñez et al. In this paper, we show that this reduction procedure can be extended to the singular case. Under a suitable notion of Hamiltonian flow on the reduced space, we show that a set of Hamiltonians on a Nambu–Poisson manifold can also be reduced.

QUANTIZATION OF SINGULAR REDUCTION

2009 ◽  
Vol 21 (03) ◽  
pp. 315-371 ◽  
Author(s):  
L. BATES ◽  
R. CUSHMAN ◽  
M. HAMILTON ◽  
J. ŚNIATYCKI
Keyword(s):  
Momentum Mapping ◽  
Zero Level ◽  
Singular Reduction

This paper creates a theory of quantization of singularly reduced systems. We compare our results with those obtained by quantizing algebraically reduced systems. In the case of a Kähler polarization, we show that quantization of a singularly reduced system commutes with reduction, thus generalizing results of Sternberg and Guillemin. We illustrate our theory by treating an example of Arms, Gotay and Jennings where algebraic and singular reduction at the zero level of the momentum mapping differ. In spite of this, their quantizations agree.

scholarly journals Singular reduction modules of differential equations

2016 ◽  
Vol 57 (10) ◽  
pp. 101503 ◽  
Author(s):  
Vaycheslav M. Boyko ◽  
Michael Kunzinger ◽  
Roman O. Popovych
Keyword(s):  
Differential Equations ◽  
Singular Reduction
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