Givental' Aleksandr Borisovich

Publications in Math-Net.Ru

1. Quantum $\mathrm{K}$-Theory of Grassmannians and Non-Abelian Localization
   
   SIGMA, 17 (2021), 018, 24 pp.
2. Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch–Riemann–Roch in Genus 0
   
   SIGMA, 16 (2020), 031, 16 pp.
3. Permutation-equivariant quantum K-theory I. Definitions. Elementary K-theory of $\overline M_{0,n}/S_n$
   
   Mosc. Math. J., 17:4 (2017),  691–698
4. $A_{n-1}$ singularities and $n$KdV hierarchies
   
   Mosc. Math. J., 3:2 (2003),  475–505
5. Gromov–Witten invariants and quantization of quadratic Hamiltonians
   
   Mosc. Math. J., 1:4 (2001),  551–568
6. Stability criterion for solitons
   
   TMF, 82:1 (1990),  28–33
7. Sturm's theorem for hyperelliptic integrals
   
   Algebra i Analiz, 1:5 (1989),  95–102
8. Periodic maps in symplectic topology
   
   Funktsional. Anal. i Prilozhen., 23:4 (1989),  37–52
9. Plücker formulae and Cartan matrices
   
   Uspekhi Mat. Nauk, 44:3(267) (1989),  155–156
10. Global properties of the Maslov index and Morse theory
    
    Funktsional. Anal. i Prilozhen., 22:2 (1988),  69–70
11. Twisted Picard–Lefschetz formulas
    
    Funktsional. Anal. i Prilozhen., 22:1 (1988),  12–22
12. Singular Lagrangian manifolds and their Lagrangian mappings
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 33 (1988),  55–112
13. Instability of stationary structures in diffusion kinetics
    
    TMF, 76:3 (1988),  462–470
14. Moments of random variables and the equivariant Morse lemma
    
    Uspekhi Mat. Nauk, 42:2(254) (1987),  221–222
15. Lagrangian imbeddings of surfaces and unfolded Whitney umbrella
    
    Funktsional. Anal. i Prilozhen., 20:3 (1986),  35–41
16. Symplectic geometry
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4 (1985),  5–135
17. Maximum number of singular points on a projective hypersurface
    
    Funktsional. Anal. i Prilozhen., 17:3 (1983),  73–74
18. Lagrangian varieties with singularities and irreducible $\mathrm{sl}_2$-modules
    
    Uspekhi Mat. Nauk, 38:6(234) (1983),  109–110
19. Asymptote of the intersection form of a quasihomogeneous singularity of functions
    
    Funktsional. Anal. i Prilozhen., 16:4 (1982),  63–65
20. Mapping of periods and intersection form
    
    Funktsional. Anal. i Prilozhen., 16:2 (1982),  7–20
21. Manifolds of polynomials having a root of fixed multiplicity, and the generalized newton equation
    
    Funktsional. Anal. i Prilozhen., 16:1 (1982),  13–18
22. Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions
    
    Funktsional. Anal. i Prilozhen., 14:2 (1980),  4–14


23. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics (September, 30 – December, 9, 1987)
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  239–245
24. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
    
    Uspekhi Mat. Nauk, 39:5(239) (1984),  253–260