Formality of derived intersections
Copyright policy )Formality of derived intersections
We study derived intersections of smooth analytic cycles, and provide in some cases necessary and sufficient conditions for this intersection be formal. In particular, if X is a complex submanifold of a complex manifold Y , we prove that X can be quantized if and only if the derived intersection of X^2 and \Delta_Y is formal in \mathrm{D}^{\mathrm{b}}\bigl (X^2 \bigr) .
intersection theory, Mathematics - Algebraic Geometry, quantized analytic cycles, derived categories, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], FOS: Mathematics, Sheaves, derived categories of sheaves, etc., Analytic spaces, Algebraic Geometry (math.AG), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
intersection theory, Mathematics - Algebraic Geometry, quantized analytic cycles, derived categories, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], FOS: Mathematics, Sheaves, derived categories of sheaves, etc., Analytic spaces, Algebraic Geometry (math.AG), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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