ИСТИНА

I���� Krichever and S���� Novikov���� introducing their approach to string theory con���� sidered some algebro����geometric ob jects connected with Riemann surfaces���� The most important ones are Krichever����Novikov algebras ���� natural gener���� alisations of Virasoro algebra���� Suppose ���� is a nondegenerate algebraic curve of genus g with two ����xed generic points P�������� then a Krichever����Novikov alge���� bra is de����ned the one����dimensional central extension of the algebra L ���� ����P�������� of meromorphic vector ����elds on ���� that are holomorphic outside P�������� Novikov����s conjecture ���������������������������� dim H ���� ����L ���� ����P������������ C ���� ���� ����g ���� �������� In ���������������� B���� Feigin proposed some spectral sequences for computing of this cohomology���� but without any explicit provement���� A new approach for computing of H ���� ����L ���� ����P������������ C ���� is proposed����