The Hamiltonian formalism and a many-valued analogue of Morse theory
The Hamiltonian formalism and a many-valued analogue of Morse theory
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汉密尔顿形式主义和莫尔斯理论的多值模拟
DOI：
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发表时间：
1982
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通讯作者：
S P Novikov
中科院分区：
文献类型：
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作者：
S P Novikov
前言§1。汉密尔顿的形式主义。最简单的例子。基尔霍夫型系统。3He§2 b相的哈密顿形式分解。流体动力源系统的哈密顿形式论§3。什么是摩尔斯（LSM）理论？§4。基尔霍夫型方程和狄拉克单极子§5。多值泛函与摩尔斯理论的类似。Kirchhoff型方程的周期问题。外场中的手性场§6。有限维流形上的多值函数。摩尔斯理论的类比参考文献
CONTENTS Introduction § 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the B-phase of 3He § 2. The Hamiltonian formalism of systems of hydrodynamic origin § 3. What is Morse (LSM) theory? § 4. Equations of Kirchhoff type and the Dirac monopole § 5. Many-valued functional and an analogue of Morse theory. The periodic problem for equations of Kirchhoff type. Chiral fields in an external field § 6. Many-valued functions on finite-dimensional manifolds. An analogue of Morse theory References