Publications and preprints
Department of Higher Geometry and Topology
The links to the most recent publications are available from the personal homepages of our department
members.
2002
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Victor M. Buchstaber, Dmitri V. Leykin.
Lie algebras associated with sigma-functions, and versal deformations.
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Victor M. Buchstaber, Taras E. Panov.
Torus Actions and Their Applications in Topology and Combinatorics.
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Victor M. Buchstaber, Elmer G. Rees.
Applications of Frobenius n-homomorphisms.
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A.Campillo, F.Delgado, S.M.Gusein-Zade.
Integrals with respect to the Euler characteristic over
spaces of functions and the Alexander polynomial.
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A.Campillo, F.Delgado, S.M.Gusein-Zade.
The Alexander polynomial of a plane curve singularity via the ring of
functions on it.
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Ivan A. Dynnikov.
Arc-presentations of links. Monotonic simplification.
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Ivan A. Dynnikov.
A new way to represent links, one-dimensional formalism and untangling
technology.
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Ivan A. Dynnikov.
On a certain Yang-Baxter map and Dehornoy's ordering.
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Ivan A. Dynnikov.
Finitely presented groups and semigroups in knot theory.
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Ivan A. Dynnikov, Sergey P. Novikov.
Geometry of the triangle equation on two-manifolds.
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Ivan A. Dynnikov, Sergey V. Smirnov.
Exactly solvable periodic Darboux q-chains.
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S.M.Gusein-Zade, I.Luengo, A.Melle-Hernandez.
An exponential function on the set of varieties.
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Dmitri V. Millionschikov.
Graded filiform Lie algebras and symplectic nilmanifolds.
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Dmitri V. Millionschikov.
Cohomology with local coefficients of solvmanifolds and
Morse-Novikov theory.
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Victor Nistor, Evgenij Troitsky.
An index for gauge-invariant operators
and the Dixmier-Douady invariant.
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Sergey P. Novikov.
On the exotic De-Rham cohomology.
Perturbation theory as a spectral sequence.
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Taras Panov, Nigel Ray, Rainer Vogt.
Colimits, Stanley-Reisner algebras, and loop spaces.
2001
2000
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I.V.Artel'nykh.
Massey products and Buchstaber
spectral sequence.
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Boris I. Botvinnik, Victor M. Buchstaber, Sergey P. Novikov, Sergey
A. Yuzvinsky.
Algebraic aspects of multiplication
in the complex cobordism theory.
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Victor M. Buchstaber, Konstandin E. Feldman.
The
index of an equivariant vector field and addition theorems for Pontrjagin
characteristic classes.
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Victor M. Buchstaber, Taras E. Panov.
Torus
actions, combinatorial topology and homological algebra.
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Victor M. Buchstaber, Taras E. Panov.
Torus
actions determined by simple polytopes.
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Victor M. Buchstaber, Taras E. Panov.
Torus actions, equivariant moment-angle
complexes, and coordinate subspace arrangements.
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Victor M. Buchstaber, Taras E. Panov.
Moment-angle
complexes and combinatorics of simplicial manifolds.
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Victor M. Buchstaber, Nigel Ray.
Tangential
structures on toric manifolds, and connected sums of polytopes.
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A.Campillo, F.Delgado, S.M.Gusein-Zade.
Integration
with respect to Euler characteristic over the projectivization of the space
of functions and the Alexander polynomial of a plane curve
singularity.
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Igor M. Krichever, Sergey P. Novikov.
Holomorphic
bundles and commuting difference operators.
Two-point constructions.
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Igor M. Krichever, Sergey P. Novikov.
Holomorphic
bundles and scalar difference operators:
one-point constructions.
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Igor M. Krichever, Sergey P. Novikov.
Periodic
and almost periodic potentials in the inverse problems.
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Andrey Ya. Maltsev, Sergey P. Novikov.
On the local systems
hamiltonian in the weakly nonlocal Poisson brackets.
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Vladimir M. Manuilov.
On C*-algebras
related to asymptotic homomorphisms.
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Vladimir M. Manuilov.
Asymptotic
homomorphisms into the Calkin algebra.
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Vladimir M. Manuilov, Klaus Thomsen.
The
Connes-Higson construction is an isomorphism.
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Vladimir M. Manuilov, Klaus Thomsen.
Asymptotically
split extensions and E-theory.
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Taras E. Panov.
Hirzebruch genera of
manifolds with torus action.
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Petr V.Yagodovsky.
Linear deformation of discrete
groups and constructions of multi-valued groups.
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