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Some duality conjectures for finite graphs and their group theoretic consequences
finite graphs group theoretic consequences
2015/8/26
We pose some graph theoretic conjectures about duality and the diameter of maximal trees in planar graphs, and we describe innovations in the following two topics in Geometric Group Theory, where the ...
Duality of non-exposed faces
convex body polar conjugate face non-exposed point singular point dual self-dual
2011/9/5
Abstract: The assignment of the conjugate face is a natural mapping associated to a convex body and its polar convex body. We study its restriction to non-exposed faces. Conjugate faces of non-exposed...
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...