Szego kernel asymptotics and Morse inequalities on CR manifolds
Författare och institution:
Chin-Yu Hsiao (Institutionen för matematiska vetenskaper, Chalmers/GU); G. Marinescu (-)
Publicerad i:
Mathematische Zeitschrift, 271 ( 1-2 ) s. 509-553
ISSN:
0025-5874
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2012
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
Let X be an abstract compact orientable CR manifold of dimension 2n-1, n >= 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 Szego 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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Matematik
Nyckelord:
boundary
Postens nummer:
161335
Posten skapad:
2012-08-09 15:40
Posten ändrad:
2012-08-13 15:31