On the Buchstaber Subring in MS p

A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.     

Carbohydrate Hydrolase-Inhibitory Activity of Juice-Based Phenolic Extracts in Correlation to Their Anthocyanin/Copigment Profile

Red fruits and their juices are rich sources of polyphenols, especially anthocyanins. Some studies have shown that such polyphenols can inhibit enzymes of the carbohydrate metabolism, such as α-amylase and α-glucosidase, that indirectly regulate blood sugar levels. The presented study examined the in vitro inhibitory activity against α-amylase and α-glucosidase of various phenolic extracts prepared from direct juices, concentrates, and purees of nine different berries which differ in their anthocyanin and copigment profile. Generally, the extracts with the highest phenolic content—aronia (67.7 ± 3.2 g GAE/100 g; cyanidin 3-galactoside; chlorogenic acid), pomegranate (65.7 ± 7.9 g GAE/100 g; cyanidin 3,5-diglucoside; punicalin), and red grape (59.6 ± 2.5 g GAE/100 g; malvidin 3-glucoside; quercetin 3-glucuronide)—showed also one of the highest inhibitory activities against α-amylase (326.9 ± 75.8 μg/mL; 789.7 ± 220.9 μg/mL; 646.1 ± 81.8 μg/mL) and α-glucosidase (115.6 ± 32.5 μg/mL; 127.8 ± 20.1 μg/mL; 160.6 ± 68.4 μg/mL) and, partially, were even more potent inhibitors than acarbose (441 ± 30 μg/mL; 1439 ± 85 μg/mL). Additionally, the investigation of single anthocyanins and glycosylated flavonoids demonstrated a structure- and size-dependent inhibitory activity. In the future in vivo studies are envisaged.     

Induced representations,transferred Chern classes and Morava rings <Emphasis Type="Italic">K</Emphasis>(<Emphasis Type="Italic">s</Emphasis>)*(<Emphasis Type="Italic">BG</Emphasis>): Some calculations

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.     

The transfer and symplectic cobordism

The main result of this paper is the nilpotency fomula , for N. Ray classes in the torsion of the symplectic bordism ring

     

Morava K -theory rings for the modular groups in Chern classes

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.     

Transferred characteristic classes and generalized cohomology rings

In this paper, we study the interaction between transferred Chern classes and Chern classes of transferred bundles. We calculate the algebra $ B{P^{*}}\left( {X_{{h\varSigma p}}^p} \right) $ and show that its multiplicative structure is completely determined by the Frobenius reciprocity. We also give some tables of the initial segments of the formal group law in the Morava K-theory which are often useful in calculations.     

Morava K-theory ring for a quasi-dihedral group in Chern classes

Morava K-theory ring for a quasi-dihedral group is calculated in terms of Chern characteristic classes and the Honda formal group law.     

Morava -theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes

Morava -theory rings of classifying spaces of the dihedral, semidihedral and generalized quaternion groups are presented in terms of Chern classes.