Author: Nan-Kuo Ho
Publisher: American Mathematical Soc.
ISBN: 0821844911
Category : Mathematics
Languages : en
Pages : 113
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Book Description
In ``The Yang-Mills equations over Riemann surfaces'', Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In ``Yang-Mills Connections on Nonorientable Surfaces'', the authors study Yang-Mills functional on the space of connections on a principal $G_{\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G_{\mathbb{R}}$ is any compact connected Lie group. In this monograph, the authors generalize the discussion in ``The Yang-Mills equations over Riemann surfaces'' and ``Yang-Mills Connections on Nonorientable Surfaces''. They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $SO(n)$ and $Sp(n)$.
Author: Ursula Hamenstädt
Publisher: American Mathematical Soc.
ISBN: 0821874276
Category : Mathematics
Languages : en
Pages : 203
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Book Description
The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmuller theory, hyperbolic geometry, and partial differential equations. However,
Author: Marco Bramanti
Publisher: American Mathematical Soc.
ISBN: 0821849034
Category : Differential inequalities
Languages : en
Pages : 136
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Book Description
"March 2010, Volume 204, number 961 (end of volume)."
Author: Pierre Magal
Publisher: American Mathematical Soc.
ISBN: 0821846531
Category : Bifurcation theory
Languages : en
Pages : 84
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Book Description
Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.
Author: Dillon Mayhew
Publisher: American Mathematical Soc.
ISBN: 0821848267
Category : Combinatorial designs and configurations
Languages : en
Pages : 110
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Book Description
The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.
Author: Leonid Positselski
Publisher: American Mathematical Soc.
ISBN: 0821852965
Category : Comodules
Languages : en
Pages : 146
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Book Description
"July 2011, volume 212, number 996 (first of 4 numbers)."
Author: Adam Coffman
Publisher: American Mathematical Soc.
ISBN: 0821846574
Category : CR submanifolds
Languages : en
Pages : 105
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Book Description
"Volume 205, number 962 (first of 5 numbers)."
Author: Makoto Sakai
Publisher: American Mathematical Soc.
ISBN: 0821848100
Category : Fluid mechanics
Languages : en
Pages : 282
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Book Description
For a given plane domain, the author adds a constant multiple of the Dirac measure at a point in the domain and makes a new domain called a quadrature domain. The quadrature domain is characterized as a domain such that the integral of a harmonic and integrable function over the domain equals the integral of the function over the given domain plus the integral of the function with respect to the added measure. The family of quadrature domains can be modeled as the Hele-Shaw flow with a free-boundary problem. The given domain is regarded as the initial domain and the support point of the Dirac measure as the injection point of the flow.
Author: Klaus Thomsen
Publisher: American Mathematical Soc.
ISBN: 0821846922
Category : Mathematics
Languages : en
Pages : 138
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Book Description
The author unifies various constructions of $C^*$-algebras from dynamical systems, specifically, the dimension group construction of Krieger for shift spaces, the corresponding constructions of Wagoner and Boyle, Fiebig and Fiebig for countable state Markov shifts and one-sided shift spaces, respectively, and the constructions of Ruelle and Putnam for Smale spaces. The general setup is used to analyze the structure of the $C^*$-algebras arising from the homoclinic and heteroclinic equivalence relations in expansive dynamical systems, in particular, expansive group endomorphisms and automorphisms and generalized 1-solenoids. For these dynamical systems it is shown that the $C^*$-algebras are inductive limits of homogeneous or sub-homogeneous algebras with one-dimensional spectra.
Author: Ping-Shun Chan
Publisher: American Mathematical Soc.
ISBN: 0821848224
Category : Automorphisms
Languages : en
Pages : 185
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Book Description
"Volume 204, number 957 (first of 5 numbers)."
