5 papers
Maximal compatibility of disklike -transfer systems
David DeMark, Michael A. Hill, Yigal Kamel +4
Transfer systems are a combinatorial model for -operads, which encode commutative structures in equivariant homotopy theory. Blumberg--Hill and Chan gave criteria for w…
The homotopy fixed points of Real spin bordism
Hassan H. Abdallah, Yigal Kamel
We show that the 2-local splitting of spin bordism by Anderson--Brown--Peterson and Stong refines to a -equivariant map in the category of spectra with -action from R…
On the nonexistence of a Green functor with values spin bordism and spin bordism
Hassan H. Abdallah, Zachary Halladay, Yigal Kamel
In this note, we show that there does not exist a -ring spectrum whose underlying ring spectrum is and whose -fixed point spectrum is .
Real spin bordism and orientations of topological -theory
Zachary Halladay, Yigal Kamel
We construct a commutative orthogonal -ring spectrum, , along with a --orientation $\mathrm{MSpin}^c_{\mathbb{R}} \to \mathrm{K…
Generalizations and strengthenings of Ryser's conjecture
Louis DeBiasio, Yigal Kamel, Grace McCourt +1
Ryser's conjecture says that for every -partite hypergraph with matching number , the vertex cover number is at most . This far reaching generalization of K…