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Lecture Notes on Equivariant Cohomology

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arxiv 0709.3615 v3 pith:ITU726Z7 submitted 2007-09-23 math.SG

classification math.SG
keywords noteslecturecohomologycourseduringequivariantfollowedgraduate
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These are the lecture notes for the introductory graduate course I taught at Yale during Spring 2007. I mostly followed [GS], [BGV], [AB], [Par2], and there are no original results in these notes.

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Cited by 2 Pith papers

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  1. The Miyaoka-Yau inequality and the delta invariant for Fano varieties

    math.AG 2026-07 conditional novelty 7.0 of 10

    Every klt Fano variety satisfies a Miyaoka–Yau inequality whose deficit is controlled by (1−min{1,δ(X)})², and every Fano manifold with a Kähler–Ricci soliton satisfies the analogous equivariant inequality.

  2. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0 of 10

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

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