activity
20162026
most citedFundamental classes in motivic homotopy theory

55 citations · 257 across the 22 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.AG2020★ 12 cited

K-theory and G-theory of derived algebraic stacks

Adeel A. Khan

These are some notes on the basic properties of algebraic K-theory and G-theory of derived algebraic spaces and stacks, and the theory of fundamental classes in this setting.

math.AG2020★ 8 cited

Categorical Milnor squares and K-theory of algebraic stacks

Tom Bachmann, Adeel A. Khan, Charanya Ravi +1

We introduce a notion of Milnor square of stable -categories and prove a criterion under which algebraic K-theory sends such a square to a cartesian square of spectra. We a…

math.AG2020★ 11 cited

On the rational motivic homotopy category

Frédéric Déglise, Jean Fasel, Adeel A. Khan +1

We study the structure of the rational motivic stable homotopy category over general base schemes. Our first class of results concerns the six operations: we prove absolute purity,…