We recently studied two large but disjoint classes of twisted open WZW strings: the openstring sectors of the WZW orientation orbifolds and the so-called basic class of twisted open WZW strings. In this paper, we discuss all T-dualizations of the basic class to construct the general twisted open WZW string – which includes the disjoint classes above as special cases. For the general case, we gi...

In this paper, we consider the Frobenius endomorphism on twisted Edwards curve and give the characteristic polynomial of the map. Applying the Frobenius endomorphism on twisted Edwards curve, we construct a skew-Frobenius map defined on the quadratic twist of an twisted Edwards curve. Our results show that the Frobenius endomorphism on twisted Edwards curve and the skew-Frobenius endomorphism o...

The transfer factors for standard endoscopy involve, among other things, the Langlands-Shelstad splitting invariant. This note introduces a twisted version of that splitting invariant. The twisted splitting invariant is then used to define a better twisted factor ∆I . In addition we correct a sign error in the definition of twisted transfers. There are two ways to correct the sign error. One wa...

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Let V be a vertex operator algebra and g an automorphism of order T . We construct a sequence of associative algebras Ag,n(V ) with n ∈ 1 T Z nonnegative such that Ag,n(V ) is a quotient of Ag,n+1/T (V ) and a pair of functors between the category of Ag,n(V )-modules which are not Ag,n−1/T (V )-modules and the category of admissible V -modules. These functors exhibit a bijection between the sim...

tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Our aim in this paper is to discover special symmetric properties for twisted q-Genocchi polynomials. We are going to find a symmetric identity for twisted q-Genocchi zeta function. From property of the twis...

In this paper, we establish the Riemann-Roch theorem in twisted K-theory extending our earlier results. We also give a careful summary of twisted geometric cycles explaining in detail some subtle points in the theory. As an application, we prove a twisted index formula and show that D-brane charges in Type I and Type II string theory are classified by twisted KO-theory and twisted K-theory resp...

W e introduce a class of graphs which are variants of t h e hypercube graph. M a n y of the properties of this class of graphs are s imilar t o tha t of the hypercube hence, we refer t o t h e m as t h e class of Hypercube-Like ( H L ) graphs/networks. W e show that the hypercube, t h e twisted n-cube [l] and the multiply-twisted cube [2] are members of this class of graphs. W e also propose s ...