We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for all symmetric pairs of simple Lie algebras and for simple twisted even half-loop Lie algebras. We provide the explicit form of the closure relations for twisted Yangians in Dr...

We study the twisted Alexander invariants of fibred knots. We establish necessary conditions on the twisted Alexander invariants for a knot to be fibred, and develop a practical method to compute the twisted Alexander invariants from the homotopy type of a monodromy. It is illustrated that the twisted Alexander invariants carry more information on fibredness than the classical Alexander invaria...

By using p-adic q-deformed fermonic integral on Zp, we define multiple the twisted (h,q)-Euler numbers of order α and polynomials of order α. After we obtain the multiplication formulae for the multiple twisted (h,q)-Euler polynomials. Also the multiple alternating sum obtained at the twisted (h,q)-Euler polynomials and the twisted (h,q)-Euler numbers. Mathematics Subject Classification: 05A10,...

In this paper we construct a new type of twisted q-Genocchi numbers and polynomials with weak weight α. We investigate some properties which are related to twisted q-Genocchi numbers G (α) n,q,w and polynomials G (α) n,q,w (x) with weak weight α. Keywords: Genocchi numbers and polynomials, twisted q-Genocchi numbers and polynomials, twisted q-Genocchi numbers and polynomials with weak weight α

In this paper, we develop differential characters in twisted K-theory and use them to define a twisted Chern character. In the usual formalism the ‘twist’ is given by a degree three Čech class while we work with differential twisted K-theory with twisting given by a degree 3 Deligne class. This resolves an unsatisfactory dependence on choices of representatives of differential forms in the defi...

BACKGROUND: Isolated twisted fallopian tube is an uncommon event, isolated twisted fallopian tube in pregnancy is also very rare. The diagnosis is often difficult and established during the operation. The right fallopian tube is most common affected. CASE PRESENTATION: We report an uncommon twisted left fallopian tube in pregnancy. A 34-year-old G3P2 28 weeks pregnant woman presented with acute...

We study three type of star products in SFT: the ghosts, the twisted ghosts and the matter. We find that their Neumann coefficients are related to each other in a compact way which includes the Gross-Jevicki relation between matter and ghost sector: we explicity show that the same relation, with a minus sign, holds for the twisted and nontwisted ghost (which are different but define the same so...