Geometry and physics : essays in honour of I.M. Gelfand

목차 (Table of Contents)

• CONTENTS
• Dedication / A. LICHNEROWICZ = ⅴ
• Preface / I.M. SINGER = ⅶ
• Israel Gelfand / S. GINDHUN = ⅸ
• Killing spinors, twistor-spinors and Hijazi inequality / A. LICHNEROWICZ = 1
• Integral geometry, twistors and generalised conformal structures / S.G. GINDIKIN = 19
• Composite Electrodynamics / M. FLATO ; C. FRONSDAL = 37
• Gluing of perverse sheaves and discrete series representation / D. KAZHDAN ; G. LAUMON = 63
• Extending$$\bar\partial$$ to singular Riemann surfaces / R. SEELEY ; I.M. SINGER = 121
• Les diff$$\acute{e}$$rentielles de semi-martingales vraies, sections de fibres vectoriels / L. SCHWARTZ = 137
• The moment map for circle actions on symplectic manifolds / DUSA McDUFF = 149
• Neveu-Schwarz sheaves and differential equations for Mumford super-forms / Yu.I. MANIN = 161
• Integral geometry and separation of continuous and discrete spectra in regular representation of PSL (2, R) / M.J GRAEV = 183
• Rational billiards and algebraic curves / E. AURELL ; C. ITZYKSON = 191
• Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras / B.L. FEIGIN ; D R. FUCHS = 209
• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations / H. BERESTYCKI ; L. NIRENBERG = 237
• Construction of constant curvature punctured Riemann surfaces with particle- scattering interpretation / A. BILAL ; J.-L. GERVAIS = 277
• On the interior scattering of waves, defined by hyperbolic variational principles / V.I. ARNOLD = 305
• Kuszui duality / A.A. BEILINSON ; V.A. GINSBURG ; V.V. SCHECHTMAN = 317
• Representations of the Virasoro algebra by the orbit method / A.A. KIRILLOV ; D.V. YURIEV = 351
• On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan numbers / A.N. KIRILLOV = 365
• Quantization of symplectic orbits of compact Lie groups by means of the functional integral / A. ALEKSEEV ; L. FADDEEV ; S. SHATASHVILI = 391
• Nunholonornic manifolds and nilpotent analysis / V. GERSHKOVICH ; A. VERSHIK = 407
• Tensor product multiplicities and convex polytopes in partition space / A.D. BFRENSMN ; A.V.ZELEVINSKY = 453
• A remark on the Gelfand-Tsetlin patterns for symplectic groups / A.A. KIRILLOV = 473
• Space-time chaos in the system of weakly interacting hyperbolic systems / YA. B. PESIN ; YA. G. SINAI = 483
• Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure / FRITZ GRUNEWALD ; GREGORI MARGULIS = 493
• Quantum R-matrices and factorization problems / N.YU. RESHETIKHIN ; M.A. SEMENOV-111AN-SHANSKY = 533
• The Selberg zeta function and a new Kdhler metric on the moduli space of punctured Riemann surfaces / L.A. TAKHTAJAN ; P.G. ZOGRAF = 551
• Integral geometry on families of surfaces in the space / A.BXTONCHAROV = 571
• One physical problem with possible mathematical significance / A.M. POLYAKOV = 595
• Exactly solvable models of conformal-invariant quantum field theory in D-dimensional space / E.S. FRADKIN ; M.Ya PALCHIK = 601
• Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator's theory of closed strings / I.M. KRICHEVFR ; S.P. NOVIKOV = 631
• On the support of Plancherel measure / JOSEPH N. BERNSTEIN = 663
• Dynamically triangulated random surfaces / A.A. MJGDAL = 711
• On the Kostant multiplicity formula / V. GUILLEMIN ; E. LERMAN ; S. STERNBERG = 721