14 citations · 40 across the 15 of their papers we have counts for
17 papers
Odd-dimensional manifolds with infinitely many different geometries of positive Ricci curvature
Anand Dessai
In every odd dimension we exhibit large classes of closed -dimensional manifolds which admit infinitely many different geometries of positive Ricci curvature, i.e., ma…
Addendum to "The -genus of -manifolds with finite second homotopy group"
Manuel Amann, Anand Dessai
In C. R. Math. Acad. Sci. Paris 348 (2010) pp. 283--285 (arXiv:0811.0840) we constructed examples of -manifolds with finite second homotopy group and non-vanishing -ge…
Moduli space of nonnegatively curved metrics on manifolds of dimension
Anand Dessai
In each dimension , we exhibit infinite families of closed manifolds with fundamental group for which the moduli space of metrics of nonnegative sectional…
Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces
Anand Dessai, David González-Álvaro
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy has infinitely many path components. We also show that in each dim…
On the moduli space of nonnegatively curved metrics on Milnor spheres
Anand Dessai
Let be a Milnor sphere or, more generally, the total space of a linear -bundle over with . We show that the moduli space of metrics of nonnegati…
Torus Actions, Fixed-Point Formulas, Elliptic Genera and positive curvature
Anand Dessai
We study fixed points of smooth torus actions on closed manifolds using fixed point formulas and equivariant elliptic genera. We also give applications to positively curved Riemann…