Anand Dessai

collaborators

4 papers

math.DG2001

Obstructions to positive curvature and symmetry

Anand Dessai

We show that the indices of certain twisted Dirac operators vanish on a $S p in$ -manifold $M$ of positive sectional curvature if the symmetry rank of $M$ is $\geq 2$ or if the symmet…

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…

math.DG2000

On the topology of scalar-flat manifolds

Anand Dessai

Let $M$ be a simply-connected closed manifold of dimension $\geq 5$ which does not admit a metric with positive scalar curvature. We give necessary conditions for $M$ to admit a sc…