4 papers
math.AT2026
Equivariant generating hypotheses for finite groups
Sihao Ma, XiaoLin Danny Shi, Zhouli Xu +1
We disprove Bohmann's equivariant generating hypothesis for every nontrivial finite group , even when all $\RO(H)$-graded homotopy groups at every subgroup are tested. For e…
math.AT2026
A Hurewicz Theorem for -graded Equivariant Homology Governed by Vector Fields on Spheres
Manyi Guo, Guchuan Li, Yunze Lu +5
We determine the -graded Hurewicz images of the -equivariant Eilenberg--MacLane spectra , and , whe…
math.AT2023
A proof of the generalized geometric boundary theorem using filtered spectra
Sihao Ma
In [Beh12, Lem. A.4.1], Behrens generalized the classical geometric boundary theorem [Rav86, Thm. 2.3.4]. In this article, we will reformulate [Beh12, Lem. A.4.1] to fix a mistake…
math.AT2022
The Borel and genuine -equivariant Adams spectral sequences
Sihao Ma
We find out some relations between the classical Adams spectral sequences for stunted real projective spectra, the Borel -equivariant Adams spectral sequence for the 2-complet…