7 citations · 14 across the 5 of their papers we have counts for
6 papers
Tate blueshift and vanishing for Real oriented cohomology
Guchuan Li, Vitaly Lorman, J. D. Quigley
We study transchromatic phenomena for the Tate construction of Real oriented cohomology theories. First, we show that after suitable completion, the Tate construction with respect…
The ER(2)-cohomology of X^nCP^\infty and BU(n)
Nitu Kitchloo, Vitaly Lorman, W. Stephen Wilson
We continue the development of the computability of the second real Johnson-Wilson theory. As ER(2) is not complex orientable, this gives some difficulty even with basic spaces. In…
Multiplicative structure on Real Johnson-Wilson theory
Nitu Kitchloo, Vitaly Lorman, W. Stephen Wilson
We prove that the Real Johnson-Wilson theories ER(n) are homotopy associative and commutative ring spectra up to phantom maps. We further show that ER(n) represents an associativel…
The -cohomology of and
Nitu Kitchloo, Vitaly Lorman, W. Stephen Wilson
The -cohomology of and are computed along with the Atiyah-Hirzebruch spectral sequence for . This, along wit…
Landweber flat real pairs and ER(n)-cohomology
Nitu Kitchloo, Vitaly Lorman, W. Stephen Wilson
We take advantage of the internal algebraic structure of the Bockstein spectral sequence converging to ER(n)^*(pt) to prove that for spaces Z that are part of Landweber flat real p…
The Real Johnson-Wilson Cohomology of
Vitaly Lorman
We completely compute the Real Johnson-Wilson cohomology of . Applying techniques from equivariant stable homotopy theory to the Bockstein spectral sequence, we…