3 papers
math.AG2026
Families of singular algebraic varieties that are rationally elliptic spaces
A. Libgober
We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is…
math.GT2024
CAT(0) geometry of complex curve complements and families
Corey Bregman, Anatoly Libgober, Kejia Zhu
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…
math.GT2024
Instanton Floer homology and Milnor Fibers
Kyoung-Seog Lee, Anatoly Libgober, Nikolai Saveliev
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 Brie…