Zobrazeno 1 - 10
of 91
pro vyhledávání: '"LIBGOBER, ANATOLY"'
Motivated by the question of whether braid groups are CAT(0), we investigate the CAT(0) behavior of fundamental groups of plane curve complements and certain universal families. If $C$ is the branch locus of a generic projection of a smooth, complete
Externí odkaz:
http://arxiv.org/abs/2411.18067
In the early days of the Floer theory, Atiyah asked if there is a Milnor fiber description of the Floer homology of the links of singularities. We answer this question for the Brieskorn-Hamm complete intersection singularities. The resulting combinat
Externí odkaz:
http://arxiv.org/abs/2410.16584
Autor:
Libgober, Anatoly, Yokura, Shoji
Publikováno v:
Homology, Homotopy and Applications, 24(2) (2022), 93-113
We discuss inequalities between the values of \emph{homotopical and cohomological Poincar\'e polynomials} of the self-products of rationally elliptic spaces. For rationally elliptic quasi-projective varieties, we prove inequalities between the values
Externí odkaz:
http://arxiv.org/abs/2107.11518
Autor:
Libgober, Anatoly, Yokura, Shoji
Publikováno v:
Topology and its Applications, 313 (2022), 1107986
We give a survey on recent results on inequalities between the ranks of homotopy and cohomology groups (resp., graded components of mixed Hodge structures on these groups) of rationally elliptic spaces (resp., quasi-projective varieties which are rat
Externí odkaz:
http://arxiv.org/abs/2107.11520
We consider the structure of classes of curves on a projective simply connected surface for which fundamental groups of the complements admit free quotients having rank greater than one with irreducible components belonging to a selected subset the e
Externí odkaz:
http://arxiv.org/abs/1904.00969
Autor:
Libgober, Anatoly, Yokura, Shoji
Publikováno v:
In Topology and its Applications 15 May 2022 313
We associate with an infinite cyclic cover of a punctured neighborhood of a simple normal crossing divisor on a complex quasi-projective manifold (assuming certain finiteness conditions are satisfied) a rational function in $K_0({\rm Var}^{\hat \mu}_
Externí odkaz:
http://arxiv.org/abs/1702.06590
Autor:
Borisov, Lev, Libgober, Anatoly
We establish the equality of stringy $E$-functions for double mirror Calabi-Yau complete intersections in the varieties of skew forms of rank at most $2k$ and at most $n-1-2k$ on a vector space of odd dimension $n$.
Comment: 33 pages
Comment: 33 pages
Externí odkaz:
http://arxiv.org/abs/1502.03702
Autor:
Libgober, Anatoly
Publikováno v:
Contributions to Algebra & Geometry; Sep2024, Vol. 65 Issue 3, p455-474, 20p