Papers by Maxim Braverman

Here you can see my list of publications with abstracts. You can also see the list of my papers on MathSciNet  and the list of my papers in the electronic archive.

1. Robustness of linear dynamical systems I (with L. Rozonoer), Automat. Remote Control,  52 (1991)  pp. 1493-1498. MathSciNet
2. Robustness of linear dynamical systems II (with L. Rozonoer), Automat. Remote Control,  53 (1992)  pp. 34-43. MathSciNet
3. Witten deformation of the analytic torsion and the spectral sequence of a filtration. GAFA, 6 (1996) 28-50.MathSciNet, ArXiv
4. Novikov type inequalities for differential forms with non-isolated zeros (with M. Farber). Math. Proc. Cambridge Philos. Soc., 122 (1997) 357-375. MathSciNet, ArXiv
5. The Novikov-Bott inequalities (with M. Farber)  C.R. Acad. Sci. Paris, t. 321, Série I (1995) 897-902. MathSciNet, ArXiv
6. Equivariant Novikov inequalities (with M. Farber).  K-Theory, 12 (1997) 293-318. MathSciNet, ArXiv
7. Novikov inequalities with symmetry (with M. Farber). C.R. Acad. Sci. Paris., t. 323,  Série I (1996) 793-798. MathSciNet, ArXiv
8. On the essential self-adjointness of the Schrödinger operator on differential forms. Proc. Amer. Math. Soc., 126 (1998) 617-623. MathSciNet, ArXiv
9. Holomorphic Morse inequalities and symplectic reduction, Topology, 38 (1999) 71-78. MathSciNet, ArXiv
10. Symplectic cutting of Kähler manifolds. Journal für die reine und angewandte Mathematik, 508 (1999) 85-98. MathSciNet, ArXiv
11. Vanishing theorems on covering manifolds. Contemporary Mathematics, 213 (1999) 1-23. MathSciNet, ArXiv
12. Cohomology of the Mumford quotient, Progress in Math., 198 (2001) 47-59.  MathSciNet, ArXiv
13. New Proof of the Cobordism Invariance of the Index, Proc. Amer. Math. Soc. 130 (2002), no. 4, 1095-1101 MathSciNet, ArXiv
14. Cobordism invariance of the index of a transversally elliptic operator, An appendix to the book "Moment maps, cobordisms and Hamiltonian group action" by V. Ginzburg, V. Guillemin and Y. Karshon. Mathematical Surveys and Monographs, 98. American Mathematical Society, Providence, RI, 2002.
15. Modified Kirchhoff flow with a partially penetrable obstacle and its application to the efficiency of free flow turbines (with A.Gorban' and V. Silantyev). Math. Comput. Modelling 35 (2002), no. 13, 1371--1375. MathSciNet
16. Essential self-adjointness of Schrödinger type operators on manifolds, (with O. Milatovich and M. Shubin), Russ. Math. Survey, 57 (2002), 641-692, MathSciNet, ArXiv
17. Index theorem for equivariant Dirac operators on noncompact manifolds. $K$-Theory 27 (2002), no. 1, 61--101. MathSciNet, ArXiv
18. New proof of the Cheeger-Müller theorem,  Ann. Global Anal. Geom. 23 (2003), no. 1, 77--92. MathSciNet, ArXiv
19. L²-torsion without the determinant class condition and extended L²-cohomology (joint with A. Carey, M. Farber, and V. Mathai), Communications in Contemporary Mathematics, 7, No. 4 (2005) 421-462. ArXiv
20. Topological calculation of the phase of the determinant of a non-self-adjoint elliptic operator (with A.Abanov),  Communications in Mathematical Physics, Comm. Math. Phys. 259 (2005), no. 2, 287--305.   ArXiv
21. Kirwan-Novikov inequalities on a manifold with boundary (with V. Silantyev), Trans. Amer. Math. Soc. 358 (2006), 3329-3361.,  ArXiv
22. A Refinement of the Ray-Singer Torsion (with T. Kappeler), C. R. Math. Acad. Sci. Paris 341 (2005), no. 8, 497--502.  ArXiv
23. Refined Analytic Torsion (with T. Kappeler), ArXiv
  To appear in J. of Diff. Geom.
24. Refined Analytic Torsion as an Element of the Determinant Line (with T. Kappeler), ArXiv, To appear in Geometry &Topology
25. Ray-Singer Type Theorem for the Refined Analytic Torsion (with T. Kappeler),  Journal of Functional Analysis, 243  (2007),  232--256, ArXiv
    

1. Vanishing theorems for the half-kernel of a Dirac operator, ArXiv
2. Cohomology of a Hamiltonian T-space with involution (with S. Alesker), ArXiv
3. Comparison of the refined analytic and the Burghelea-Haller torsions (with T. Kappeler), ArXiv
4. Symmetrized Trace and Symmetrized Determinant of Odd Class Pseudo-differential Operators,  ArXiv