Zachary Halladay

collaborators

2 papers

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.AT2024

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…

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

Real spin bordism and orientations of topological K-theory

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

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