3 papers
math.AT2024
Power operations preserve Thom classes in twisted equivariant Real K-theory
Daniel Berwick-Evans, Meng Guo
We construct power operations for twisted KR-theory of topological stacks. Standard algebraic properties of Clifford algebras imply that these power operations preserve universal T…
math.QA2024
Spectral 2-actions, foams, and frames in the spectrification of Khovanov arc algebras
Anne Dranowski, Meng Guo, Aaron Lauda +1
Leveraging skew Howe duality, we show that Lawson-Lipshitz-Sarkar's spectrification of Khovanov's arc algebra gives rise to 2-representations of categorified quantum groups over $\…
math.RA2017
The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras
Mengtian Guo, Xianguo Hu, Jiafeng Lu +1
In this paper, the so-called differential graded (DG for short) Poisson Hopf algebra is introduced, which can be considered as a natural extension of Poisson Hopf algebras in the d…