Anand Dessai

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math.GT2001

Cyclic actions and elliptic genera

Anand Dessai

Let $M$ be a $S p in$ -manifold with $S^{1}$ -action and let $σ \in S^{1}$ be of finite order. We show that the indices of certain twisted Dirac operators vanish if the action of $σ$ has su…

math.GT2001

Homotopy complex projective spaces with Pin(2)-action

Anand Dessai

Let $M$ be a manifold homotopy equivalent to the complex projective space $\C P^m$. Petrie conjectured that $M$ has standard total Pontrjagin class if $M$ admits a non-trivial acti…