TY - JOUR
T1 - A spectrum-level Hodge filtration on topological Hochschild homology
AU - Glasman, Saul
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - We define a functorial spectrum-level filtration on the topological Hochschild homology of any commutative ring spectrum R, and more generally the factorization homology R⊗ X for any space X, echoing algebraic constructions of Loday and Pirashvili. We give a geometric description of this filtration, investigate its multiplicative properties, and show that it breaks THH up into common eigenspectra of the Adams operations.
AB - We define a functorial spectrum-level filtration on the topological Hochschild homology of any commutative ring spectrum R, and more generally the factorization homology R⊗ X for any space X, echoing algebraic constructions of Loday and Pirashvili. We give a geometric description of this filtration, investigate its multiplicative properties, and show that it breaks THH up into common eigenspectra of the Adams operations.
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U2 - 10.1007/s00029-016-0228-z
DO - 10.1007/s00029-016-0228-z
M3 - Article
AN - SCOPUS:84961138141
SN - 1022-1824
VL - 22
SP - 1583
EP - 1612
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
IS - 3
ER -