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- W3100147020 abstract "This paper examines Euler characteristics and characteristic classes in the motivic setting. We establish a motivic version of the Becker–Gottlieb transfer, generalizing a construction of Hoyois. Making calculations of the Euler characteristic of the scheme of maximal tori in a reductive group, we prove a generalized splitting principle for the reduction from $operatorname{GL}_{n}$ or $operatorname{SL}_{n}$ to the normalizer of a maximal torus (in characteristic zero). Ananyevskiy’s splitting principle reduces questions about characteristic classes of vector bundles in $operatorname{SL}$ -oriented, $unicode[STIX]{x1D702}$ -invertible theories to the case of rank two bundles. We refine the torus-normalizer splitting principle for $operatorname{SL}_{2}$ to help compute the characteristic classes in Witt cohomology of symmetric powers of a rank two bundle, and then generalize this to develop a general calculus of characteristic classes with values in Witt cohomology." @default.
- W3100147020 created "2020-11-23" @default.
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- W3100147020 date "2019-03-22" @default.
- W3100147020 modified "2023-09-27" @default.
- W3100147020 title "MOTIVIC EULER CHARACTERISTICS AND WITT-VALUED CHARACTERISTIC CLASSES" @default.
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- W3100147020 doi "https://doi.org/10.1017/nmj.2019.6" @default.
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