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121.
Motivated by Gauss's first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves.
By the maximum principle, a harmonic curve has no bounded components; its topology is determined by the combinatorial data
of a noncrossing matching. Similarly, every complex polynomial gives rise to a related combinatorial object that we call a
basketball, consisting of a pair of noncrossing matchings satisfying one additional constraint. We prove that every noncrossing
matching arises from some harmonic curve, and deduce from this that every basketball arises from some polynomial. 相似文献
122.
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124.
We show that the isotropy types of the singularities of Riemannian orbifolds are not determined by the Laplace spectrum. Indeed,
we construct arbitrarily large families of mutually isospectral orbifolds with different isotropy types. Finally, we show
that the corresponding singular strata of two isospectral orbifolds may not be homeomorphic.
Received: 6 October 2005 相似文献
125.
Joel David Hamkins 《Proceedings of the American Mathematical Society》1998,126(11):3223-3226
Iteratively taking the automorphism group of any group leads, transfinitely, to a fixed point.
126.
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128.
Applied Biochemistry and Biotechnology - It is generally recognized that the front-end (pretreatment, fractionation, enzymatic hydrolysis) steps of a lignocellulose-to-ethanol process are both... 相似文献
129.
David Akers 《International Journal of Theoretical Physics》1990,29(10):1091-1097
A status report is presented on the existence of quarks carrying the Dirac unit of magnetic chargeg = (137/2)e. The Paschen-Back effect in dyonium is discussed. From the dyonium model, Akers predicted the existence of a new meson at 1814 MeV withI
G(JPC) = 0+(0–+). Experimental evidence now confirms the existence of the meson resonance. 相似文献
130.
Consider a labeled convex n-gon in the plane and a point x in general position in the interior. We associate with this a collection (x) of 3-element sets, namely those 3-element subsets of the vertices which contain x in their interior. We investigate the problem of characterizing those collections of subsets which can be represented in this matter. We give a complete characterization of this and a related problem.School of Mathematics, University of Minnesota, Minneapolis, MN 55455. This work was supported in part by NSF grant DMS-8700995.Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, England. Work done while Hill Visiting Professor at the University of Minnesota. 相似文献