CHARACTERISTIC CLASSES OF VECTOR BUNDLES ON A REAL ALGEBRAIC VARIETY
Vyacheslav Alekseevich Krasnov · Mathematics of the USSR-Izvestiya · 1992
For a vector bundle on a real algebraic variety , the author studies the connections between the characteristic classes It is proved that for -varieties the equality implies the congruence . Sufficient conditions are found also for the converse to hold; this requires the construction of new characteristic classes . The results are applied to study the topology of .