Bihamiltonian Cohomology of KdV Brackets

被引：8

作者：

Carlet, Guido ^{[1
]}

Posthuma, Hessel ^{[1
]}

Shadrin, Sergey ^{[1
]}

机构：

[1] Univ Amsterdam, Korteweg Vries Inst Wiskunde, Postbus 94248, NL-1090 GE Amsterdam, Netherlands

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2016年 / 341卷 / 03期

关键词：

HYDRODYNAMIC TYPE; DEFORMATIONS; HIERARCHIES;

D O I：

10.1007/s00220-015-2540-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using spectral sequences techniques we compute the bihamiltonian cohomology groups of the pencil of Poisson brackets of dispersionless KdV hierarchy. In particular, this proves a conjecture of Liu and Zhang about the vanishing of such cohomology groups.

引用

页码：805 / 819

页数：15

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