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math.DG2021
Positive curvature and discrete abelian symmetry
Lee Kennard, Elahe Khalili Samani, Catherine Searle
By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for posit…
math.DG2021★ 2 cited
Splitting of torus representations and applications in the Grove symmetry program
Lee Kennard, Michael Wiemeler, Burkhard Wilking
A 1930s conjecture of Hopf states that an even-dimensional compact Riemannian manifold with positive sectional curvature has positive Euler characteristic. We prove this conjecture…
math.AT2021
Halperin's conjecture in formal dimensions up to 20
Lee Kennard, Yantao Wu
A 1976 conjecture of Halperin on positively elliptic spaces was recently confirmed in formal dimensions up to 16. In this article, we shorten the proof and extend the result up to…