scholarly journals Gauge equivalence for complete $L_\infty$-algebras

2021 ◽  
Vol 23 (2) ◽  
pp. 283-297
Author(s):  
Ai Guan
Keyword(s):  
2010 ◽  
Vol 165 (2) ◽  
pp. 1512-1516 ◽  
Author(s):  
I. Ya. Aref’eva ◽  
R. V. Gorbachev

2008 ◽  
Vol 05 (01) ◽  
pp. 49-61 ◽  
Author(s):  
HYUNSUK KANG

We generalise the compactness of isospectral metrics in the C∞-topology modulo gauge equivalence in dimension three to the case for Schrödinger operators with bounded potentials, as well as the finiteness of diffeomorphism types of isospectral manifolds.


1991 ◽  
Vol 06 (05) ◽  
pp. 737-748 ◽  
Author(s):  
JOSÉ F. CARIÑENA ◽  
MANUEL F. RAÑADA

A generalization of the gauge equivalence of Lagrangians is developed. In this approach the different Lagrangians determine not only the same set of solutions but also the same energies. Some general properties are studied and then the case of velocity-free forces is considered. In particular we show the non-existence for n=2 (two degrees of freedom) of such equivalent Lagrangians and that when n=3 the only forces admitting such equivalent Lagrangians correspond to those deriving from central potentials.


2007 ◽  
Vol 40 (1) ◽  
pp. 199-215 ◽  
Author(s):  
Gordon Belot
Keyword(s):  

1993 ◽  
Vol 08 (32) ◽  
pp. 3079-3091 ◽  
Author(s):  
H. ARATYN ◽  
L. A. FERREIRA ◽  
J. F. GOMES ◽  
R. T. MEDEIROS ◽  
A. H. ZIMERMAN

Bracket preserving gauge equivalence is established between several two-boson generated KP type of hierarchies. These KP hierarchies reduce under symplectic reduction (via Dirac constraints) to KdV, mKdV and Schwarzian KdV hierarchies. Under this reduction the gauge equivalence takes the form of the conventional Miura maps between the above KdV type of hierarchies.


2008 ◽  
Vol 102 (2-3) ◽  
pp. 179-217 ◽  
Author(s):  
Antonio M. Scarfone

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