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math.DG2018
Kosniowski's conjecture and weights
Donghoon Jang
The conjecture of Kosniowski asserts that if the circle acts on a compact unitary manifold with a non-empty fixed point set and does not bound a unitary manifold equivarian…
math.DG2018
Torus actions on oriented manifolds of generalized odd type
Donghoon Jang
Landweber and Stong prove that if a closed spin manifold admits a smooth -action of odd type, then its signature vanishes. In this paper, we extend the…