Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Lorman, Vitaly"'
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 to a trivial $\mathbb{Z}/2$-action on height $n$ Real Johnson--Wilson
Externí odkaz:
http://arxiv.org/abs/1910.06191
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 this paper we compute the second real Johnson-Wilson theory for produ
Externí odkaz:
http://arxiv.org/abs/1807.05470
Publikováno v:
In Advances in Mathematics 24 December 2022 411 Part A
Autor:
Lorman, Vitaly1 (AUTHOR) lormanv@chop.edu, Razzaghi, Hanieh1 (AUTHOR), Song, Xing2 (AUTHOR), Morse, Keith3 (AUTHOR), Utidjian, Levon1 (AUTHOR), Allen, Andrea J.1 (AUTHOR), Rao, Suchitra4 (AUTHOR), Rogerson, Colin5 (AUTHOR), Bennett, Tellen D.6 (AUTHOR), Morizono, Hiroki7 (AUTHOR), Eckrich, Daniel8 (AUTHOR), Jhaveri, Ravi9 (AUTHOR), Huang, Yungui10 (AUTHOR), Ranade, Daksha11 (AUTHOR), Pajor, Nathan12 (AUTHOR), Lee, Grace M.13 (AUTHOR), Forrest, Christopher B.1 (AUTHOR), Bailey, L. Charles1 (AUTHOR)
Publikováno v:
PLoS ONE. 8/10/2023, Vol. 18 Issue 9, p1-14. 14p.
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 associatively and commutatively multiplicative cohomology theory on the category o
Externí odkaz:
http://arxiv.org/abs/1701.00255
Autor:
Bose-Brill, Seuli, Hirabayashi, Kathryn, Schwimmer, Emmanuel, Pajor, Nathan M., Rao, Suchitra, Mejias, Asuncion, Jhaveri, Ravi, Forrest, Christopher B., Bailey, L. Charles, Christakis, Dimitri A., Thacker, Deepika, Hanley, Patrick C., Patel, Payal B., Cogen, Jonathan D., Block, Jason P., Prahalad, Priya, Lorman, Vitaly, Lee, Grace M.
Publikováno v:
Hospital Pediatrics; Aug2024, Vol. 14 Issue 8, pe341-e348, 8p
The $ER(2)$-cohomology of $B\mathbb{Z}/(2^q)$ and $\mathbb{C}P^n$ are computed along with the Atiyah-Hirzebruch spectral sequence for $ER(2)^*(\mathbb{C}P^\infty)$. This, along with other papers in this series, gives us the $ER(2)$-cohomology of all
Externí odkaz:
http://arxiv.org/abs/1605.07401
Publikováno v:
Advances in Mathematics, Volume 322; p. 60-82 (2017)
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 pairs with respect to E(n), the cohomology ring ER(n)^*(Z) can be obtai
Externí odkaz:
http://arxiv.org/abs/1603.06865
Autor:
Lorman, Vitaly
We completely compute the Real Johnson-Wilson cohomology of $\mathbb{C}P^\infty$. Applying techniques from equivariant stable homotopy theory to the Bockstein spectral sequence, we produce permanent cycles and solve extension problems to give an expl
Externí odkaz:
http://arxiv.org/abs/1509.02101
Publikováno v:
In Topology and its Applications 1 February 2020 270