Abstract
There is given an algebraic formula which expresses the Euler characteristic of a real algebraic manifold in terms of the signature of an appropriate bilinear form.
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Szafraniec, Z. A formula for the Euler characteristic of a real algebraic manifold. Manuscripta Math 85, 345–360 (1994). https://doi.org/10.1007/BF02568203
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DOI: https://doi.org/10.1007/BF02568203