John Klein's Publications

Publications . .
1. Inequivalent knots whose homotopy Seifert pairings are isometric with A. Suciu; Math. Ann., 289 683-701 (1991)

2. Coordinate free Morse theory manuscripta math., 71 283-294 (1991)

3. Higher Reidemeister torsion and parametrized Morse theory Suppl. Rend. Circ.
Math. Palermo, Ser II, 30 15-20 (1993)

4. A functional relation in stable knot theory Math. Ann.,292 103-109 (1992)

5. The Borel regulator map on Pictures. II: an example from Morse theory with
K. Igusa; K-theory,7 225-267 (1993)

6. Higher Franz-Reidemeister torsion: low dimensional applications Contemporary Mathematics, 150 195-204 (1993)

7. On the homotopy embeddability of complexes in euclidean space: I. the weak thickening theorem, Math. Zeit.,213 145-161 (1993)

8. Comultiplication and suspension with R. Schwänzl and R. Vogt; Topology Appl., 77 1-18 (1997)

9. On two results about fibrations Manuscripta Math.,92 77-86 (1997)
http://www.klein.wayne.edu/fibrations.pdf

10. On the derivative of the stable homotopy of mapping spaces Homology, Homotopy and Applications, 5 601-612 (2003)

11. A chain rule in the calculus of homotopy functors with J. Rognes Geom. Topol. 6 (2002), 853--887

12. The fiber of the linearization map A(*) -> K(Z) with J. Rognes; Topology, 36 829-848 (1997)

13. Structure theorems for homotopy pushouts I. Math. Proc. Camb. Phil. Soc. 123 301-324 (1998)

14. On Maps into a co-H space with M. Golasinski; Hiroshima Math. Jour. 28, 321-327 (1998)

15. Poincaré duality Spaces Surveys on surgery theory, Vol. 1, 135--165, Ann. of Math. Stud., 145, Princeton Univ. Press, Princeton, NJ, 2000.
16. Poincaré duality embeddings and fiberwise homotopy theory Topology 38,597-620 (1999)

17. Poincaré immersions Forum Math. 11 (1999) 717--734.

18. Embedding, compression and fiberwise homotopy theory Algebraic & Geometric Topology, 2 (2002) 311--336.

19. The "fundamental theorem" in the algebraic K-theory of spaces III: the nil-term With Bruce Williams Proc. Amer. Math. Soc. 136 (2008), 3025--3033.

20. The "fundamental theorem" in the algebraic K-theory of spaces II: the action of the canonical involution J. Pure Appl. Algebra 167 (2002), 53--82. with T. Huettemann, W. Vogell, F. Waldhausen, & B. Williams

21. The "fundamental theorem" in the algebraic K-theory of spaces I J. Pure Appl. Algebra 160 (2001), no. 1, 21--52. with T. Huettemann, W. Vogell, F. Waldhausen & B. Williams ps

22. Poincaré embeddings of spheres Geometry and topology: Aarhus (1998), 263--274, Contemp. Math. 258, Amer. Math. Soc., Providence, RI, 2000.

23. The dualizing spectrum of a topological group. Math. Ann. 319 (2001) 421--456.

24. Spaces of smooth embeddings, disjunction and surgery. Surveys on surgery theory, Vol. 2, 221--284, Ann. of Math. Stud., 149, Princeton Univ. Press, Princeton, NJ, 2001. with T. Goodwillie, and M. Weiss

25. A Haefliger type description of the embedding calculus tower. Topology 42 (2003), no. 3, 509--524. with T. Goodwillie and M. Weiss

26. Axioms for generalized Farrell-Tate cohomology J. Pure Appl. Algebra 172 (2002), 225--238.

27. Poincaré duality embeddings and fiberwise homotopy theory, II. Quart. Jour. Math. Oxford 53, 319--335 (2002)

28. Moduli of suspension spectra, preprint Trans. Amer. Math. Soc. 357 (2005), 489-507

29. Fiber Products, Poincaré duality and A-infty-ring spectra Proc. Amer. Math. Soc. 134 (2006), no. 6, 1825--1833

30. On embeddings in the sphere, Proc. Amer. Math. Soc. 133 (2005), 2783-2793

31. On the homotopy invariance of configuration spaces, with Mokhtar Aouina. Alg. & Geom. Topology 4 (2004), 813-827.

32. A "Sullivan conjecture" for equivariant structure sets, with Shmuel Weinberger. 0-th draft:

33. On the homotopy invariance of the string topology loop product and string bracket Journal of Topology 1, 391--408 2008

34. Poincaré submersions, Alg. & Geom. Topology 5 (2005), 23-29.

35. On C.T.C. Wall's suspension theorem, Forum Mathematicum 18, 829-837 (2006). with Mokhtar Aouina.

36. 37. The dualizing spectrum, II. Alg. & Geom. Topology 7, (2007) 109–133.

38. Poincaré complex diagonals. By John R. Klein  Math. Z. 258 (2008), no. 3, 587--607.

39. Operations on A-theoretic nil-terms. with J.Grunewald, J.R. Klein,  T. Macko.

40. The refined transfer, bundle structures and algebraic K-theory. By J.R. Klein, B. Williams. Topol. 2 (2009), 321--345. 

41. Poincaré Duality and Periodicity. By J. Klein, B. Richter Algebr. Geom. Topol. 11 (2011), 1961–1985

42. Umkehr Maps. By R. Cohen, J. Klein Homology, Homotopy and Applications, 11 (2009), 17–33.

43. Multiple disjunction for spaces of Poincaré embeddings. with Thomas G. Goodwillie. Journal of Topology, 1 (2008), 761–803

44. Homotopical intersection theory, II: equivariance. with Bruce Williams Math. Z. 264(2010),849–880.

45. Continuous trace C*-algebras, gauge groups and rationalization, J. Klein, C. Schochet, S. Smith,  J. Topol. Anal. 1 (2009), 261–288.

46. Poincaré Duality and Periodicity, II: James Periodicity. with William G. Richter, Geom. Dedicata 148 (2010), 291–302.

47. Equivalence of higher torsion invariants. B. Badzioch, W. Dorabiala, J. Klein, B. Williams, Adv. Math. 226 (2011), 2192–2232

48. From Rational Homotopy to K-Theory for Continuous Trace Algebras,  J. Klein, C. Schochet, S. Smith, Superstrings, geometry, topology, and C∗-algebras, 165–171, Proc. Sympos. Pure Math., 81, Amer. Math. Soc., Providence, RI, 2010.

49. Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents. By V.Y. Chernyak, J.R. Klein, N.A. Sinitsyn, J. Chem. Phys. 136, 154107

50. Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems II: Full Counting Statistics. By V.Y. Chernyak, J.R. Klein, N.A. Sinitsyn,  J. Chem. Phys. 136, 154108 (2012)

51. Algebraic Topology and the Quantization of Fluctuating Currents. By V.Y. Chernyak, J.R. Klein, N.A. Sinitsyn, Adv. Math. 244 (2013), 791–822.

52. Kirchhoff's theorems in higher dimensions and Reidemeister torsion. By M.J. Catanzaro, V.Y. Chernyak, John R. Klein, Homology, Homotopy and Applications 17, (2015), 65–189.

53. On Kirchhoff's theorems with coefficients in a line bundle.  By M.J. Catanzaro, V.Y. Chernyak, John R. Klein, Homology Homotopy Appl. 15 (2013), no. 2, 267–280

54. Fake Wedges. By J.R. Klein and J.W. Peter Trans. Amer. Math. Soc. 366 (2014), no. 7, 3771–3786.

55. Homotopical Intersection Theory, III: multi-relative intersection problems. By J.R. Klein, B. Williams,
Algebr. Geom. Topology (2019) 1079–1134.

56. Charged Spaces arXiv by John R. Klein and John W. Peter Forum Math. 27 (2015), no. 5, 2661–2689.

57. Multiple disjunction for spaces of smooth embeddings. By T.G. Goodwillie, J.R. Klein J. Topol. 8 (2015), no. 3, 651–674.

58. Embeddings, Normal Invariants and Functor Calculus. By J.R. Klein Nagoya Math. J. 225 (2017), 152–184.

59. On the moduli space of A-infinity structures. By J.R. Klein, S.Tilson, Manifolds and K-theory, 141–159, Contemp. Math., 682, Amer. Math. Soc., Providence, RI, 2017.

60. Exciton Scattering via Algebraic Topology. By M.J. Catanzaro, V.Y. Chernyak, John R. Klein, Journal of Topology and Analysis 0 0:0, 1–22

61. A higher Boltzmann distribution. By Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein J Appl. and Comput. Topology (2017) 1: 215.

62. The transfer is functorial. By J.R. Klein, C. Malkiewich, Advances in Mathematics, 338, 2018, 1119–1140.

63. Stochastic Dynamics of Extended Objects in Driven Systems: I. Higher-Dimensional Currents in the Continuous Setting.  By M.J. Catanzaro, V.Y. Chernyak, J.R. Klein, Chemical Physics (2016), doi: http://dx.doi.org/10.1016/j.chemphys.2016.08.021

64. Stochastic Dynamics of Extended Objects in Driven Systems: II: Current Quantization in the Low-Temperature Limit . By M.J. Catanzaro, V.Y. Chernyak, J.R. Klein, Chemical Physics (2016), doi: http://dx.doi.org/10.1016/j.chemphys.2016.08.020

65. On fluctuations of cycles in a finite CW complex. By M.J. Catanzaro, V.Y. Chernyak, J.R. Klein, Israel J. Math. 248 (2022), no. 1, 315–354.

66. On the various notions of Poincaré duality pair. By J.R. Klein, Lizhen Qin, Yang Su. Trans. Amer. Math. Soc.  375 (2022), 4251- 4283

67. K-theoretic torsion and the zeta function.y J.R. Klein, C. Malkiewich, K-theoretic torsion and the zeta function. Ann. K-Theory 7 (2022), no. 1, 77–118.

68. Hypercurrents. By M.J. Catanzaro, V.Y. Chernyak, J.R. Klein

69. Probability measures on graph trajectories. By M.J. Catanzaro, V.Y. Chernyak, J.R. Klein

70. Poincaré complex diagonals and the Bass trace conjecture. By J.R. Klein, F. Naef

71. On the Multiplicativity of the Euler Characteristic. By J.R. Klein, C. Malkiewich, M. Ramzi


72. On finite domination and Poincaré duality. By J.R. Klein