On the horizontal gauge cohomology and non-removability of the spectral parameter by
نویسندگان
چکیده
Given a zero-curvature representation α, the horizontal gauge cohomology group H̄ α is shown to contain obstructions to removability of the “spectral parameter” of α. A method to compute H̄ α is suggested.
منابع مشابه
Notes on the Horizontal Cohomology
This paper is devoted to the horizontal (“characteristic”) cohomology of systems of differential equations. Recent results on computing the horizontal cohomology via the compatibility complex are generalized. New results on the Vinogradov C-spectral sequence and Krasilshchik’s C-cohomology are obtained. As an application of general theory, the examples of an evolution equation and a p-form gaug...
متن کاملنظریه میدان ناجابه‌جایی و پارامترهای نقض لورنتس در QED
Non-commutative field theory as a theory including the Lorentz violation can be constructed in two different ways. In the first method, the non-commutative fields are the same as the ordinary ones while the gauge group is restricted to U(n). For example, the symmetry group of standard model in non-commutative space is U(3)×(2)×U(1) which can be reduced to SU(3)×SU(2)×U(1) by two appropriate spo...
متن کاملUsing a combination of genetic algorithm and particle swarm optimization algorithm for GEMTIP modeling of spectral-induced polarization data
The generalized effective-medium theory of induced polarization (GEMTIP) is a newly developed relaxation model that incorporates the petro-physical and structural characteristics of polarizable rocks in the grain/porous scale to model their complex resistivity/conductivity spectra. The inversion of the GEMTIP relaxation model parameter from spectral-induced polarization data is a challenging is...
متن کاملInverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions
In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at som...
متن کاملLiquefaction Hazard assessment using Horizontal-to-Vertical Spectral Ratio of Microtremor
In this paper, the spectral ratio of mmicrotremor, HSVR, is presented for estimating the liquefaction potential of layered soil in the coastal area of the Persian Gulf, which consists of a hard sandstone layer situated between two saturated sandy layers. The surface layer is thin, with a thickness between 2 and 5 meters. The purpose of this paper is to identify the relation between the liquefac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001