arXiv subjects

Christina Tønnesen-Friedman

Publications and source records attributed to Christina Tønnesen-Friedman.

2 recordsLinked to original sources

arXiv2020

Iterated $S^3$ Sasaki Joins and Bott Orbifolds

We present a categorical relationship between iterated $S^3$ Sasaki-joins and Bott orbifolds. Then we show how to construct smooth Sasaki-Einstein (SE) structures on the iterated joins. These become increasingly complicated as dimension grows. We give an explicit construction of (infinitely many) smooth SE structures up through dimension eleven, and conjecture the existence of smooth SE structures in all odd dimensions.

math.DG↗

arXiv2018

Sasaki-Einstein Metrics on a class of 7-Manifolds

In this note we give an explicit construction of Sasaki-Einstein metrics on a class of simply connected 7-manifolds with the rational cohomology of the 2-fold connected sum of $S^2\times S^5$. The homotopy types are distinguished by torsion in $H^4$.

math.DG↗