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On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings (2311.03962v3)
Published 7 Nov 2023 in math.KT and math.RA
Abstract: We prove a Chain Lemma for inner product spaces over commutative local rings R with residue field other than F2 and use this to show that the usual presentation of the Grothendieck-Witt group of symmetric bilinear forms over R as the zero-th Milnor-Witt K-group holds provided the residue field of R is not F2.
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