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math.AT2021
Almost complex manifolds with total Betti number three
Jiahao Hu
We show the minimal total Betti number of a closed almost complex manifold of dimension is four, thus confirming a conjecture of Sullivan except for dimension . Along…
math.RA2021
Infinite symmetric products of rational algebras and spaces
Jiahao Hu, Aleksandar Milivojević
We show that the infinite symmetric product of a connected graded-commutative algebra over the rationals is naturally isomorphic to the free graded-commutative algebra on the posit…