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math.GT2026
Reflections on branched covers
Grigori Avramidi, Boris Okun, Kevin Schreve
A flag complex determines a locally CAT(0) cube complex with the links of all vertices isomorphic to . The fundamental group of is the commutator subgroup of the…
math.GT2026
Cellular waists of hyperbolic spaces
Grigori Avramidi, Thomas Delzant
We find lower bounds on the topological complexity of fibers of PL and generic smooth maps , where is a closed hyperbolic manifold of large injec…
math.AT2026
L^2-Betti numbers in prime characteristic and a conjecture of Wise
Grigori Avramidi, Wolfgang Lueck
We systematically study L^2-Betti numbers in zero and prime characteristic and apply them to a conjecture of Wise stating that all towers of a finite 2-complex are non-positive if…