11 citations · 39 across the 18 of their papers we have counts for
18 papers
Equivariant Steenrod Operations
Prasit Bhattacharya, Alex Waugh, Mingcong Zeng +1
We introduce the notion of -Eulerian sequences for any -ring spectrum of finite orientation order. We prove that each -Eule…
Equivariant Weiss Calculus
Prasit Bhattacharya, Yang Hu
In this paper, we introduce an equivariant analog of Weiss calculus of functors for all finite group . In our theory, Taylor approximations and derivatives are index by…
New infinite families in the stable homotopy groups of spheres
Prasit Bhattacharya, Irina Bobkova, J. D. Quigley
We identify seven new -periodic infinite families of elements in the -primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological mo…
On the Steenrod module structure of -motivic Spanier-Whitehead duals
Prasit Bhattacharya, Bertrand J. Guillou, Ang Li
The -motivic cohomology of an -motivic spectrum is a module over the -motivic Steenrod algebra . In this paper, we des…
Equivariant orientation of vector bundles over disconnected base spaces
Prasit Bhattacharya, Foling Zou
In this paper, we view the equivariant orientation theory of equivariant vector bundles from the lenses of equivariant Picard spectra. This viewpoint allows us to identify, for a f…
The structure of the v_2-local algebraic tmf resolution
Mark Behrens, Prasit Bhattacharya, Dominic Culver
We give a complete description of the E_1-term of the v_2-local as well as g-local algebraic tmf resolution.
On realizations of the subalgebra of the -motivic Steenrod Algebra
Prasit Bhattacharya, Bertrand J. Guillou, Ang Li
In this paper, we show that the finite subalgebra , generated by and , of the -motivic Steenrod algebra $\ma…
An -motivic self-map of periodicity
Prasit Bhattacharya, Bertrand Guillou, Ang Li
We consider a nontrivial action of on the type spectrum , which is well-known for admitting a -periodic $…
On the -orientability of vector bundles
Prasit Bhattacharya, Hood Chatham
We study the orientability of vector bundles with respect to a family of cohomology theories called -theories. The -theories are higher height analogues o…
The telescope conjecture at height 2 and the tmf resolution
Agnes Beaudry, Mark Behrens, Prasit Bhattacharya +2
Mahowald proved the height 1 telescope conjecture at the prime 2 as an application of his seminal work on bo-resolutions. In this paper we study the height 2 telescope conjecture a…
The Margolis homology of connective topological modular forms
Prasit Bhattacharya, Irina Bobkova, Brian Thomas
The element of the mod 2 Steenrod algebra has the property . This property allows one to view as a differential on for any spect…
The p-local stable Adams conjecture: Erratum
Prasit Bhattacharya, Nitu Kitchloo
This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we also identify and fix two errors in section 4 of our…
Towards the -local homotopy groups of
Prasit Bhattacharya, Philip Egger
Recently we introduced a class of -local finite spectra and showed that all spectra admit a -self-map of periodicit…
The stable Picard group of
Prasit Bhattacharya, Nicolas Ricka
Using a form of descent in the stable category of -modules, we show that there are no exotic elements in the stable Picard group of , \textit{i.e.}…
On the E2-term of the bo-Adams spectral sequence
Agnes Beaudry, Mark Behrens, Prasit Bhattacharya +2
The E_1-term of the (2-local) bo-based Adams spectral sequence for the sphere spectrum decomposes into a direct sum of a v_1-periodic part, and a v_1-torsion part. Lellmann and Mah…
A class of -local finite spectra which admit a -self-map
Prasit Bhattacharya, Philip Egger
At the prime , Behrens, Hill, Hopkins and Mahowald showed admits -periodic -self-map and more recently authors joint with Mahowald showed also admits $…
Higher associativity of Moore spectra
Prasit Bhattacharya
The Moore spectrum is the cofiber of the map on the sphere spectrum. For a fixed and , we find a lower bound on for which is…
On the periodic -self-map of
Prasit Bhattacharya, Philip Egger, Mark Mahowald
We prove that the minimal self-map of the 2-local spectrum is 32 periodic.