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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.RT2024
Hilbert series of representations of categories of -sets
Philip Tosteson
Let be a finite group. A contravariant functor from the category of finite free -sets to vector spaces has an associated Hilbert series, which records the underlying sequenc…