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EVGENY FEIGIN // PUBLICATION LIST

1. Extremal part of the PBW-filtration and E-polynomials, arXiv:1306.3146 (with I. Cherednik). 2. Highest weight orbits: PBW and toric degenerations, arXiv:1306.1292. 3. Homological approach to the Hernandez-Leclerc construction and quiver varieties, arXiv:1302.5297 (with G. Cerulli Irelli and M. Reineke). 4. Desingularization of quiver Grassmannians for Dynkin quivers, arXiv:1209.3960 (with G. Cerulli Irelli and M. Reineke). 5. Degenerate flag varieties: moment graphs and SchrЁ oder numbers, Journal of Algebraic Combinatorics, Volume 38, Issue 1 (2013), Page 159­189 (with G. Cerulli Irelli and M. Reineke). 6. PBW­filtration over Z and compatible bases for VZ () in type An and Cn , Springer Proceedings in Mathematics & Statistics, Symmetries, Integrable Systems and Representations, 2013, pp. 35­63; arXiv:1204.1854 (with G. Fourier, P. Littelmann). 7. Degenerate S Ln : representations and flag varieties, to appear in Functional Analysis and Its Applications, arXiv:1202.5848. 8. The median Genocchi numbers, Q-analogues and continued fractions, European Journal of Combinatorics 33 (2012), pp. 1913­1918. 9. Quiver Grassmannians and degenerate flag varieties, Algebra & Number Theory 6-1 (2012), 165­194 (with G. Cerulli Irelli and M. Reineke). 10. Symplectic degenerate flag varieties, arxiv:1106.1399 (with M.Finkelberg and P.Littelmann). 11. Degenerate flag varieties of type A: Frobenius splitting and BWB theorem, arxiv:1103.1491 (with M.Finkelberg). 12. Degenerate flag varieties and the median Genocchi numbers, Mathematical Research Letters, 18 (2011), no. 6, pp. 1­16. 13. PBW filtration and bases for symplectic Lie algebras, International Mathematics Research Notices 2011 (24), pp. 5760­5784. (with G. Fourier, P. Littelmann). 14. GM degeneration of flag varieties, Selecta Mathematica: Volume 18, a Issue 3 (2012), Page 513­537. 15. Systems of correlation functions, coinvariants and the Verlinde algebra, Funkts. Anal. Prilozh. 46 (2012), no. 1, pp. 49­64. 16. Quantum continuous g l : Tensor products of Fock modules and Wn characters, Kyoto Journal of Mathematics, 51 (2011), no. 2. pp. 365­392 (with B. Feigin, M. Jimbo, T. Miwa, E. Mukhin). 17. Quantum continuous gl : Semi-infinite construction of representations, Kyoto Journal of Mathematics, 51 (2011), no. 2, pp. 337­364, arXiv:1002.3100 (with B. Feigin, M. Jimbo, T. Miwa, E. Mukhin).
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EVGENY FEIGIN // PUBLICATION LIST

18. PBW filtration and bases for irreducible modules in type An , Transformation Groups: Volume 16, Issue 1 (2011), 71-89 (with G. Fourier, P. Littelmann). 19. Zhu's algebra and the C2 -algebra in the symplectic and the orthogonal cases, J. Phys. A: Math. Theor. 43 (2010) 135206 (with P. Littelmann). 20. Zhu's algebras, C2 -algebras and abelian radicals, Journal of Algebra 329 (2011) 130146 (with B. Feigin, P. Littelmann). 21. Givental symmetries of Frobenius manifolds and multi-component KP tau-functions, Advances in Mathematics 224 (2010), pp. 1031-1056 (with J. van de Leur, S.Shadrin). 22. Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian, arXiv:0812.2306, Letters in Mathematical Physics: Volume 88, Issue 1 (2009), pp.39-77 (with B. Feigin, M. Jimbo, T. Miwa, E. Mukhin). 23. The PBW Filtration, Demazure Modules and Toroidal Current Algebras, SIGMA 4 (2008), 070, 21 pages. 24. N = 1 formal genus 0 Gromov-Witten theories and Givental's formalism, Journal of Geometry and Physics 59 (2009) pp. 1127-1136. ^ 25. Principal sl(3) subspaces and quantum Toda Hamiltonian, Advances in Pure Mathematics 54, Algebraic Analysis and Around, pp. 109-166, 2009 (with B. Feigin, M. Jimbo, T. Miwa, E. Mukhin). 26. Fermionic formulas for (1,p) logarithmic model characters in 2,1 quasiparticle realization, Advanced Studies in Pure Mathematics 61, 161­184 (2011) (with B.Feigin, I.Tipunin). 27. The PBW filtration, MPIM 2007-14, Represent. Theory 13 (2009), 165-181. 28. Infinite fusion products and sl2 cosets, Journal of Lie Theory, vol. 17 (2007), pp. 145-161. 29. Two dimensional current algebras and affine fusion product, J. Algebra 313 (2007), no. 1, 176­198 (with B. Feigin). 30. Bosonic formulas for affine branching functions, Funktsional. Anal. i Prilozhen. 42 (2008), no. 1, 63­77, 96. 31. A 1,3 -filtration on the Virasoro minimal series M (p, p ) with 1 < p /p < 2, Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, 213­257 (with B. Feigin, M. Jimbo, T. Miwa, Y. Takeyama). 32. Principal subspace for the bosonic vertex operator 2m (z ) and Jack polynomials, Advances in Mathematics, Volume 206 (2006), Issue 2, pp. 307-328 (with B. Feigin). 33. Homological realization of restricted Kostka polynomials, Int. Math. Res. Not. 2005, no. 33, 1997­2029 (with B. Feigin). 34. Schubert varieties and the fusion products: the general case, Int. Math. Res. Not. 2004, no. 59, 3153-3175. 35. Schubert varieties and the fusion products, Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, 625­668 (with B. Feigin).


EVGENY FEIGIN // PUBLICATION LIST

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36. Integrable sl2 -modules as infinite tensor products, Fundamental mathematics today, O. Sheinman, S. Lando eds., 304­334, Independent University of Moscow, 2003 (in Russian) (with B. Feigin). 37. Q-characters of the tensor products in sl2 -case,, Mosc. Math. J. 2 (2002), no. 3, 567­588 (with B. Feigin).