The witt group of real surfaces

Max Karoubi, Charles Weibel

Research output: Contribution to journalArticlepeer-review


Let V be an algebraic variety defined over R, and Vtop the space of its complex points. We compare the algebraic Witt group W (V) of symmetric bilinear forms on vector bundles over V, with the topological Witt group WR(Vtop) of symmetric forms on Real vector bundles over Vtop in the sense of Atiyah, especially when V is 2-dimensional. To do so, we develop topological tools to calculate WR(Vtop ), and to measure the difference between W (V ) and WR(Vtop).

Original languageEnglish (US)
Pages (from-to)157-193
Number of pages37
JournalContemporary Mathematics
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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