Geometric Description of the Connecting Homomorphism for Witt Groups

We give a geometric setup in which the connecting homomorphism in the localization long exact sequence for Witt groups decomposes as the pull-back to the exceptional fiber of a suitable blow-up followed by a push-forward.

2000 Mathematics Subject Classification: Primary 19G12; Secondary 11E81.

Keywords and Phrases: Witt group, localization sequence, connecting homomorphism, blow-up, push-forward, non-oriented theory.

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