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math.AT2024
The Atiyah-Sutcliffe conjecture and -algebras
Lorenzo Guerra, Paolo Salvatore
We show that a certain conjecture by Atiyah and Sutcliffe implies the existence of an -algebra (respectively -algebra) structure on the disjoint union of all complex…
math.AT2023
Cohomology of complete unordered flag manifolds
Lorenzo Guerra, Santanil Jana
We consider quotients of complete flag manifolds in Cn and Rn by an action of the symmetric group on n objects. We compute their cohomology with field coefficients of any character…
math.AT2023★ 1 cited
Cohomology rings of extended powers and free infinite loop spaces
L. Guerra, P. Salvatore, D. Sinha
We calculate mod-p cohomology of extended powers, and their group completions which are free infinite loop spaces. We consider the cohomology of all extended powers of a space toge…