Accueil

GT Autour des Torsions

GROUPE DE TRAVAIL COMMUN AUX EQUIPES

Organisateurs

Miguel Bermudez et Jerome Dubois

Jeudi - 10h30 à 12h30

PROGRAMME BIBLIOGRAPHIE

Les textes fondateurs

  1. K. Reidemeister - Homotopieringen und Linsenraume, Abh. Math. Semin. Ham-burg. Univ. 11 (1935), p. 102–109.
  2. K. Reidemeister - Uberdeckungen von Komplexen, J. reine angew. Math. 173 (1935), p. 164–173.
  3. W. Franz – Uber die Torsion einer Uberdeckung, J. reine angew. Math. 173 (1935), p. 245–254.
  4. J. Milnor – Two complexes which are homeomorphic but combinatorially distinct, Ann. of Math. 74 (1961), p. 575–590.
  5. J. Milnor – A Duality Theorem for Reidemeister Torsion, Ann. of Math. 76 (1962), p. 134–147.
  6. J. Milnor – Whitehead torsion, Bul l. Amer. Math. Soc. 72 (1966), p. 358–426.

Les textes sur l’invariance topologique

  1. T. Chapman – Topological invariance of Whitehead torsion, Amer. J. Math. 96 (1974), p. 488–497.
  2. M. Cohen – A course in simple-homotopy theory, Graduate Texts in Mathematics, no. 10, Springer-Verlag, 1973.

Textes complementaires

  1. E. Witten – On Quantum Gauge Theories in Two Dimensions, Commun. Math. Phys. 141 (1991), p. 153–209.
  2. D. Fried – Counting Circles, in Dynamical systems (College Park, MD, 1986–87), Lecture Notes in Math., 1342, Springer, 1988, p. 196–215.
  3. V. Turaev – Introduction to Combinatorial Torsions, Lectures in Mathematics ETH Zurch, Birkhauser, 2001.
  4. V. Turaev – Torsions of 3-dimensional Manifolds, Progress in Mathematics, no. 208, Birkhauser, 2002.
  5. L. Nicolaescu – The Reidemeister Torsion of 3-Manifolds, de Gruyter Studies in Mathematics 30, de Gruyter, 2003.
  6. A. Fel’shtyn – Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion, Memoirs of the Amer. Math. Soc., no. 699, American Mathematical Society, 2000.
  7. W. Luck – L2 -invariants: Theory and Applications to Geometry and K-Theory, Springer, 2002.

Torsion Analytique

  1. D. B. Ray and I. M. Singer, Analytic Torsion for Complex Manifolds, The Annals of Mathematics, Second Series, Vol. 98, No. 1 (Jul., 1973), pp. 154-177
  2. D. B. Ray and I. M. Singer, Analytic torsion. Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971), pp. 167--181. Amer. Math. Soc., Providence, R.I., 1973.
  3. D. B. Ray and I. M. Singer, R-torsion and the Laplacian on Riemannian manifolds. Advances in Math. 7, 145--210. (1971).