We prove that any rational linear combination of Pontryagin numbers that does not factor through the universal elliptic genus is unbounded on connected closed spin manifolds of nonnegative sectional curvature.Comment: 9 pages, final version, to appear in Bulletin London Math. So
Let M m be a compact oriented smooth manifold which admits a smooth circle action with isolated fi...
We show that a complete non-compact 3-manifold with scalar curvature bounded below by a positive con...
We conjecture that any perverse sheaf on a compact aspherical K\"ahler manifold has non-negative Eul...
We discuss the cobordism type of spin manifolds with non-negative sectional curvature. We show that...
We prove some results about the vanishing of the elliptic genus on positively curved Spin manifolds...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
A classical theorem of Bochner asserts that the isometry group of a compact Riemannian manifold with...
We show that the moduli space of nonnegatively curved metrics on each member of a large class of 2-c...
We extend the K-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson ...
We study the elliptic genera of level $N$ at the cusps of $\Gamma_1(N)$ for any complete intersectio...
Let $(M,g^{TM})$ be a noncompact (not necessarily complete) enlargeable Riemannian manifold in the s...
We show that ten-dimensional closed simply connected positively curved manifolds with isometric effe...
We show that the moduli space R_9 of Prym curves of genus 9 is uniruled. This is the largest genus g...
When can surgery on a null-homologous knot K in a rational homology sphere produce a non-separating ...
Let M m be a compact oriented smooth manifold which admits a smooth circle action with isolated fi...
We show that a complete non-compact 3-manifold with scalar curvature bounded below by a positive con...
We conjecture that any perverse sheaf on a compact aspherical K\"ahler manifold has non-negative Eul...
We discuss the cobordism type of spin manifolds with non-negative sectional curvature. We show that...
We prove some results about the vanishing of the elliptic genus on positively curved Spin manifolds...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
A classical theorem of Bochner asserts that the isometry group of a compact Riemannian manifold with...
We show that the moduli space of nonnegatively curved metrics on each member of a large class of 2-c...
We extend the K-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson ...
We study the elliptic genera of level $N$ at the cusps of $\Gamma_1(N)$ for any complete intersectio...
Let $(M,g^{TM})$ be a noncompact (not necessarily complete) enlargeable Riemannian manifold in the s...
We show that ten-dimensional closed simply connected positively curved manifolds with isometric effe...
We show that the moduli space R_9 of Prym curves of genus 9 is uniruled. This is the largest genus g...
When can surgery on a null-homologous knot K in a rational homology sphere produce a non-separating ...
Let M m be a compact oriented smooth manifold which admits a smooth circle action with isolated fi...
We show that a complete non-compact 3-manifold with scalar curvature bounded below by a positive con...
We conjecture that any perverse sheaf on a compact aspherical K\"ahler manifold has non-negative Eul...
DOI
Add to ORKG