Handbook of differential geometry

By F. Dillen, L. Verstraelen. 2000

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Dai-Freed anomalies in particle physics (2018, methodology): “To evaluate the Spin index of CP 2, we use the fact that its signature is 1 [50], together with the index theorem for the Spin complex [91] and the fact that any complex manifold has a canonical Spin structure whose associated line bundle V equals the determinant line bundle.”
Compactifications of Symmetric and Locally Symmetric Spaces (2005, background): “23 As explained in [Ji9], in many applications to geometry, for example, the Mostow strong rigidity [Mos], the rank rigidity of nonpositively curved manifolds [Bal1] [Bal2] [BuS2] and the classification of isoparametric submanifolds of codimension at least 3 [Te1] [Tho1] [Tho2], it is the topologica”
Ozsváth-Szabó invariants and tight contact three-manifolds, II (2004, background): “ar X iv :m at h/ 05 05 49 3v 2 [ m at AMS Classification 57R17; 57R57 Keywords Ozsváth–Szabó invariants, L–spaces, taut foliations, transverse foliations, transverse contact structures, tight contact structures, planar contact structures”