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1.
Malkhaz Bakuradze 《Proceedings of the Steklov Institute of Mathematics》2011,275(1):160-168
The ring structure of Morava K-theory K(s)*(BG) for the 2-group no. 38 of order 32 from the Hall-Senior list is calculated. Previously it was known that K(s)*(BG) is evenly generated and for s = 2 is generated by Chern characteristic classes. 相似文献
2.
Malkhaz Bakuradze 《Transactions of the American Mathematical Society》1997,349(11):4385-4399
The main result of this paper is the nilpotency fomula , for N. Ray classes in the torsion of the symplectic bordism ring
3.
Malkhaz Bakuradze 《K-Theory》2008,38(2):87-94
Morava K-theory rings of classifying spaces of the modular and quasi-dihedral groups are calculated in terms of Chern characteristic
classes and the Honda formal group law.
The author was supported by the INTAS 03-51-3251 and GRDF GEM1-3330-TB-03 grants. 相似文献
4.
M. Shashiashvili 《Georgian Mathematical Journal》1996,3(2):153-176
The Skorokhod oblique reflection problem is studied in the case ofn-dimensional convex polyhedral domains. The natural sufficient condition on the reflection directions is found, which together with the Lipschitz condition on the coefficients gives the existence and uniqueness of the solution. The continuity of the corresponding solution mapping is established. This property enables one to construct in a direct way the reflected (in a convex polyhedral domain) diffusion processes possessing the nice properties. 相似文献
5.
The classical Garman-Kohlhagen model for the currency exchange assumes that the domestic and foreign currency risk-free interest
rates are constant and the exchange rate follows a log-normal diffusion process.
In this paper we consider the general case, when exchange rate evolves according to arbitrary one-dimensional diffusion process
with local volatility that is the function of time and the current exchange rate and where the domestic and foreign currency
risk-free interest rates may be arbitrary continuous functions of time. First non-trivial problem we encounter in time-dependent
case is the continuity in time argument of the value function of the American put option and the regularity properties of
the optimal exercise boundary. We establish these properties based on systematic use of the monotonicity in volatility for
the value functions of the American as well as European options with convex payoffs together with the Dynamic Programming
Principle and we obtain certain type of comparison result for the value functions and corresponding exercise boundaries for
the American puts with different strikes, maturities and volatilities.
Starting from the latter fact that the optimal exercise boundary curve is left continuous with right-hand limits we give a
mathematically rigorous and transparent derivation of the significant early exercise premium representation for the value
function of the American foreign exchange put option as the sum of the European put option value function and the early exercise
premium.
The proof essentially relies on the particular property of the stochastic integral with respect to arbitrary continuous semimartingale
over the predictable subsets of its zeros. We derive from the latter the nonlinear integral equation for the optimal exercise
boundary which can be studied by numerical methods. 相似文献
6.
Malkhaz Bakuradze Vladimir Vershinin 《Proceedings of the American Mathematical Society》2006,134(12):3707-3714
Morava -theory rings of classifying spaces of the dihedral, semidihedral and generalized quaternion groups are presented in terms of Chern classes.
7.
Malkhaz Bakuradze Stewart Priddy 《Proceedings of the American Mathematical Society》2004,132(6):1855-1860
Let be a complex -plane bundle over the total space of a cyclic covering of prime index . We show that for the -th Chern class of the transferred bundle differs from a certain transferred class of by a polynomial in the Chern classes of the transferred bundle. The polynomials are defined by the formal group law and certain equalities in .
8.
We calculate some formal group laws and genera closely related to the universal Buchstaber formal group law \(\mathcal{F}_B\) . 相似文献
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