8 citations · 8 across the 2 of their papers we have counts for
12 papers
Topology of Foliations given by the real part of holomorphic 1-forms
S. P. Novikov
Topology of Foliations of the Riemann Surfaces given by the real part of generic holomorphic 1-forms, is studied. Our approach is based on the notion of Transversal Canonical Basis…
On the Metric Independent Exotic Homology
S. P. Novikov
Different types of nonstandard homology groups based on the various subcomplexes of differential forms are considered as a continuation of the recent authors works. Some of them re…
On the exotic De-Rham cohomology. Perturbation theory as a spectral sequence
S. P. Novikov
This work is dedicated to some new exotic homological constructions associated with the different Morse-type inequalities for differential forms and vector fields. It contains also…
Algebraic Aspects of the Theory of Product Structures in Complex Cobordism
B. Botvinnik, V. Buchstaber, S. Novikov +1
We address the general classification problem of all stable associative product structures in the complex cobordism theory. We show how to reduce this problem to the algebraic one…
Various doublings of Hopf Algebras. Algebras of Operators on Quantum Groups and Complex Cobordisms
S. P. Novikov
Family of doublings of Hopf algeras based on the product of algebra and its dual are constructed and studied. Special cases of these construction may be considered as natural quant…
The Schrödinger operator on graphs and topology
S. P. Novikov
Symplectic vector-valued scalar product is constructed on the spaces of solutions of the real discrete Shrodinger equation with fixed value of the spectral parameter on graphs. It…