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math.AT2024
Homology of spaces of curves on blowups
Ronno Das, Philip Tosteson
We consider the space of holomorphic maps from a compact Riemann surface to a projective space blown up at finitely many points. We show that the homology of this mapping space equ…
math.AT2019
Representation stability for pure braid group Milnor fibers
Jeremy Miller, Philip Tosteson
We prove a representation stability result for the Milnor fiber associated to the pure braid group. Our result connects previous work of Simona Settepenella to representation stabi…