Zograf Petr Georgievich

Publications in Math-Net.Ru

1. Tau Function and Moduli of Meromorphic Quadratic Differentials
   
   SIGMA, 18 (2022), 001, 10 pp.
2. Tensor networks and the enumerative geometry of graphs
   
   Zap. Nauchn. Sem. POMI, 507 (2021),  26–34
3. Uniform Lower Bound for Intersection Numbers of $\psi$-Classes
   
   SIGMA, 16 (2020), 086, 13 pp.
4. An explicit formula for Witten's $2$-correlators
   
   Zap. Nauchn. Sem. POMI, 468 (2018),  53–57
5. Rationality in map and hypermap enumeration by genus
   
   Algebra i Analiz, 29:3 (2017),  23–33
6. Virasoro constraints and topological recursion for Grothendieck's dessin counting
   
   Lett. Math. Phys., 105:8 (2015),  1057–1084
7. Weil–Petersson Volume of Low-Genus Moduli Spaces
   
   Funktsional. Anal. i Prilozhen., 32:4 (1998),  78–81
8. Liouville action on moduli spaces and uniformization of degenerate Riemann surfaces
   
   Algebra i Analiz, 1:4 (1989),  136–160
9. On the geometry of moduli spaces of vector bundles over a Riemann surface
   
   Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989),  753–770
10. Potential of the Weyl–Peterson metric on the Teichmüller space of Riemann surfaces of genus zero with punctures
    
    Funktsional. Anal. i Prilozhen., 22:4 (1988),  80–81
11. A local index theorem for families of $\bar \partial$-operators on Riemann surfaces
    
    Uspekhi Mat. Nauk, 42:6(258) (1987),  133–150
12. On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces
    
    Mat. Sb. (N.S.), 132(174):3 (1987),  304–321
13. On Liouville's equation, accessory parameters, and the geometry of Teichmüller space for Riemann surfaces of genus 0
    
    Mat. Sb. (N.S.), 132(174):2 (1987),  147–166
14. The potential of the Weil-Petersson metric on Torelli space
    
    Zap. Nauchn. Sem. LOMI, 160 (1987),  110–120
15. Narasimhan–Seshadri connection and Kähler structure of the space of moduli of holomorphic vector bundles over Riemann surfaces
    
    Funktsional. Anal. i Prilozhen., 20:3 (1986),  84–85
16. Action of the Liouville equation is a generating function for the accessory parameters and the potential of the Weil–Petersson metric on the Teichmüller space
    
    Funktsional. Anal. i Prilozhen., 19:3 (1985),  67–68
17. Small eigenvalues of automorphic Laplacians in spaces of cusp forms
    
    Zap. Nauchn. Sem. LOMI, 134 (1984),  157–168
18. On the spectrum of automorphic Laplacians in spaces of modular functions
    
    Dokl. Akad. Nauk SSSR, 269:4 (1983),  802–805
19. On analogues of the Artin factorization formulas in the spectral theory of automorphic functions connected with induced representations of Fuchsian groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:6 (1982),  1150–1158
20. Puchsian groups and small eigenvalues of the Laplace operator
    
    Zap. Nauchn. Sem. LOMI, 122 (1982),  24–29
21. On analogues of the Artin factorization formulas in the spectral theory of automorphic functions connected with induced representations of Fuchsian groups
    
    Dokl. Akad. Nauk SSSR, 259:3 (1981),  523–526
22. The Selberg trace formula for the Hilbert molular group of a real quadratic number field
    
    Zap. Nauchn. Sem. LOMI, 100 (1980),  26–47