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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.SG2024
Computable, obstructed Morse homology for clean intersections
Erkao Bao, Ke Zhu
In this paper, we develop a method to compute the Morse homology of a manifold when descending manifolds and ascending manifolds intersect cleanly, but not necessarily transversely…
math.GT2024
A note on complex hyperbolic lattices and strict hyperbolization
Kejia Zhu
We study the connection between the fundamental groups of complex hyperbolic manifolds and those of spaces arising from the (relative) strict hyperbolization process due to Charney…