Manyi Guo

collaborators

3 papers

math.AT2026

A Hurewicz Theorem for $R O (C_{2})$ -graded Equivariant Homology Governed by Vector Fields on Spheres

Manyi Guo, Guchuan Li, Yunze Lu +5

We determine the $R O (C_{2})$ -graded Hurewicz images of the $C_{2}$ -equivariant Eilenberg--MacLane spectra $H F_{2}$ , $H Z$ and $H A$ , whe…

math.AT2026

Immersions of $C_{2}$ -projective spaces via $K R$ -theory

Manyi Guo, Jackson Morris, Alex Waugh +1

We compute the Atiyah Real $K$ -theory of $C_{2}$ -equivariant projective spaces and construct immersions of such spaces into multiples of the regular representation. These computation…

math.MG2023

Isomorphism classes of cut loci for a cube

Donald M Davis, Manyi Guo

We prove that a face of a cube can be optimally partitioned into connected 193 sets on which the cut locus, or ridge tree, is constant up to isomorphism as a labeled graph. These a…

A Hurewicz Theorem for RO(C2​)-graded Equivariant Homology Governed by Vector Fields on Spheres

Immersions of C2​-projective spaces via KR-theory

Isomorphism classes of cut loci for a cube

A Hurewicz Theorem for $R O (C_{2})$ -graded Equivariant Homology Governed by Vector Fields on Spheres

Immersions of $C_{2}$ -projective spaces via $K R$ -theory