Yigal Kamel

collaborators

4 papers

math.AT2026

Maximal compatibility of disklike $G$ -transfer systems

David DeMark, Michael A. Hill, Yigal Kamel +4

Transfer systems are a combinatorial model for $N_{\infty}$ -operads, which encode commutative structures in equivariant homotopy theory. Blumberg--Hill and Chan gave criteria for w…

math.AT2025

The homotopy fixed points of Real spin bordism

Hassan H. Abdallah, Yigal Kamel

We show that the 2-local splitting of spin $^{c}$ bordism by Anderson--Brown--Peterson and Stong refines to a $C_{2}$ -equivariant map in the category of spectra with $C_{2}$ -action from R…

math.AT2025

On the nonexistence of a Green functor with values spin $^{c}$ bordism and spin bordism

Hassan H. Abdallah, Zachary Halladay, Yigal Kamel

In this note, we show that there does not exist a $C_{2}$ -ring spectrum whose underlying ring spectrum is $MSpin^{c}$ and whose $C_{2}$ -fixed point spectrum is $MSpin$ .

math.AT2025

Real spin bordism and orientations of topological $K$ -theory

Zachary Halladay, Yigal Kamel

We construct a commutative orthogonal $C_{2}$ -ring spectrum, $MSpin_{R}^{c}$ , along with a $C_{2}$ - $E_{\infty}$ -orientation $\mathrm{MSpin}^c_{\mathbb{R}} \to \mathrm{K…

Maximal compatibility of disklike G-transfer systems

The homotopy fixed points of Real spin bordism

On the nonexistence of a Green functor with values spinc bordism and spin bordism

Real spin bordism and orientations of topological K-theory

Maximal compatibility of disklike $G$ -transfer systems

On the nonexistence of a Green functor with values spin $^{c}$ bordism and spin bordism

Real spin bordism and orientations of topological $K$ -theory