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math.AT2020★ 4 cited
Thom isomorphisms in triangulated motivic categories
Alexey Ananyevskiy
We show that a triangulated motivic category admits categorical Thom isomorphisms for vector bundles with an additional structure if and only if the generalized motivic cohomology…
math.AT2015★ 14 cited
Witt sheaves and the -inverted sphere spectrum
Alexey Ananyevskiy, Marc Levine, Ivan Panin
Ananyevsky has recently computed the stable operations and cooperations of rational Witt theory. These computations enable us to show a motivic analog of Serre's finiteness result:…