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• W3098052414 abstract "Let X be an abstract compact orientable CR manifold of dimension $${2n-1, n,geqslant,2}$$ , and let L k be the k-th tensor power of a CR complex line bundle L over X. We assume that condition Y(q) holds at each point of X. In this paper we obtain a scaling upper-bound for the Szegö kernel on (0, q)-forms with values in L k , for large k. After integration, this gives weak Morse inequalities, analogues of the holomorphic Morse inequalities of Demailly. By a refined spectral analysis we obtain also strong Morse inequalities. We apply the strong Morse inequalities to the embedding of some convex–concave manifolds." @default.
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• W3098052414 date "2011-05-05" @default.
• W3098052414 modified "2023-10-11" @default.
• W3098052414 title "Szegö kernel asymptotics and Morse inequalities on CR manifolds" @default.
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• W3098052414 doi "https://doi.org/10.1007/s00209-011-0875-x" @default.
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