Arbeitsgruppe Geometrische Analysis




Mitarbeiter

Sekretariat


Ehemalige Mitarbeiter


Publikationen:

  1. B. Camus, Semiclassical spectral estimates for Schröodinger operators at a critical energy level. Case of a degenerate minimum of the potential
    J. Math. Anal. Appl. 341 (2008), No. 2, 1170-1180

  2. C.-Y. Hsiao and G. Marinescu, Szegö kernel asymptotics and Morse inequalities on CR manifolds
    Math. Z. 271 (2012), 509–553
    arXiv:1005.5471

  3. T.-C. Dinh, V. Schmidt and G. Marinescu, Equidistribution of zeros of holomorphic sections in the non compact setting
    J. Stat. Phys., 148 (2012), no. 1, 113-136
    arXiv:1106.5244

  4. C.-Y. Hsiao, On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization
    Ann. Glob. Anal. Geom., 42 (2012), no. 2, 207-245
    arXiv:1108.0498

  5. C.-Y. Hsiao and G. Marinescu, Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
    Comm. Anal. Geom. 22 (2014), No. 1, 1–108
    arXiv:1112.5464

  6. Brian C. Hall and W. Kirwin, Complex structures adapted to magnetic flows
    arXiv:math.SG/1201.2142

  7. W. Kirwin, J. P. Nunes and J. M. Mourão, Complex time evolution in geometric quantization and generalized coherent state transforms
    J. Func. Anal. 265 (2013), 1460-1493
    arxiv:math.DG/1203.4767

  8. C.-Y. Hsiao, Existence of CR sections for high power of semi-positive rigid Heisenberg line bundles over compact Heisenberg manifolds
    arXiv:1204.4810.

  9. W. Lu, Morse-–Bott inequalities in the presence of a compact Lie group action and applications
    Differential Geometry and its Applications 32(2014), 68–87
    arXiv:1205.3437

  10. W. Lu, A Thom-Smale-Witten theorem on manifolds with boundary
    arXiv:1205.4665

  11. C.-Y. Hsiao, The second coefficient of the asymptotic expansion of the weighted Bergman kernel for (0,q) forms on C^n
    arXiv:1208.3818

  12. W. Kirwin, J. P. Nunes and J. M. Mourão,Coherent state transforms and the Mackey-Stone-Von Neumann theorem
    arXiv:1211.2145

  13. W. Lu, The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator
    J. Geom. Anal. 25 (2015), 25-63
    arXiv:1212.6034

  14. C.-Y. Hsiao and P.-L. Yung, The tangential Cauchy-Riemann complex on the Heisenberg group via conformal invariance
    arXiv:1303.6547

  15. C.-Y. Hsiao and P.-L. Yung, Solving Kohn Laplacian on asymptotically flat pseudohermitian 3-manifolds
    arXiv:1303.6557

  16. S. Klevtsov, Random normal matrices, Bergman kernel and projective embeddings
    Journal of High Energy Physics, 2014:133
    arXiv:1309.7333

  17. A. Bilal, F. Ferrari, S. Klevtsov, 2D quantum gravity at one loop with Liouville and Mabuchi actions
    Nuclear Physics B, 880(2014), 203–224

  18. C.-Y. Hsiao, Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds
    arXiv:1401.6647

  19. S. Klevtsov, S. Zelditch, Stability and integration over Bergman metrics
    arXiv:1404.0659

  20. C.-Y. Hsiao and G. Marinescu, On the singularities of the Szegö projections on lower energy forms
    arXiv:1407.6305

  21. W. Kirwin, Quantizing the geodesic flow via adapted complex structures
    arXiv:1408.1527

  22. F. Ferrari, S. Klevtsov, FQHE on curved backgrounds, free fields and large N
    arXiv:1410.6802

  23. W. Kirwin, J. P. Nunes and J. M. Mourão, Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds
    arXiv:1411.2793

  24. S. Klevtsov, P. Wiegmann, Precise adiabatic transport and geometry of quantum Hall states
    arXiv:1504.07198

  25. S. Klevtsov, S. Zelditch, Heat kernel measures on random surfaces
    arXiv:1505.05546

  26. B. Liu, Fuctoriality of equivariant eta forms
    arXiv:1505.04454

  27. H. Wang, On the growth of von Neumann dimension of harmonic spaces of semipositive line bundles over covering manifolds
    arXiv:1505.04322

  28. S. Klevtsov, Xiaonan Ma, George Marinescu, Paul Wiegmann, Quantum Hall effect, Quillen metric and holomorphic anomaly
    arXiv:1510.06720

  29. Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li, Szegö kernel expansion and embedding of Sasakian manifolds
    arXiv:1512.03952