Algebro-geometric approach to the Ernst equation I. Mathematical Preliminaries
نویسندگان
چکیده
منابع مشابه
Algebro-geometric Approach to the Yang–baxter Equation and Related Topics
We review the results of algebro-geometric approach to 4× 4 solutions of the Yang–Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler–Chasles correspondence. We present a list of classifications in Mathematical Physics with a similar geometric background, related to pencils of conics. In the conclusion, ...
متن کاملPreliminaries to Circuits , I
1This work was initiated while the second author visited Nagano (March–May 1994) and then continued when the third author visited Edmonton (May–June 1994). The work was finalized when the fourth author visited Białystok (October–November 1994). Partial funding for this work has been provided by: Shinshu Endowment Fund for Information Science, NSERC Grant OGP9207, JSTF award 651-93-S009. 1 The p...
متن کاملAlgebro-geometric Feynman Rules
We give a general procedure to construct algebro-geometric Feynman rules, that is, characters of the Connes–Kreimer Hopf algebra of Feynman graphs that factor through a Grothendieck ring of immersed conical varieties, via the class of the complement of the affine graph hypersurface. In particular, this maps to the usual Grothendieck ring of varieties, defining motivic Feynman rules. We also con...
متن کاملAlgebro-geometric Invariant of Knots
In this paper, we define a new algebro-geometric invariant of 3-manifolds resulting from the Dehn surgery along a hyperbolic knot complement in S. We establish a Casson type invariant for these 3-manifolds. In the last section, we explicitly calculate the character variety of the figure-eight knot and discuss some applications, as well as the computation of our new invariants for some 3-manifol...
متن کاملNew construction of algebro-geometric solutions to the Camassa-Holm equation and their numerical evaluation
An independent derivation of solutions to the Camassa-Holm equation in terms of multi-dimensional theta functions is presented using an approach based on Fay’s identities. Reality and smoothness conditions are studied for these solutions from the point of view of the topology of the underlying real hyperelliptic surface. The solutions are studied numerically for concrete examples, also in the l...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1997
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-41-1-195-204