D. H. Gottlieb's Recent Papers
Here is a list of Dan Gottlieb's publications with some additional
- Transfers and periodic orbits of homeomorphisms
(February 20, 2004)
- Eigenbundles, Quaternions, and Berry's Phase
(April 15, 2003)
- Lorentz Transformations and Statistical Mechanics
(August 28, 2000).
- Fields of Lorentz Transformations on Space-Time
(December 15, 1998; May 26, 2000). (Topology and its Aplications
116 (2001), 103 -122.)
Skew Symmetric Bundle Maps on Space - Time ( This appeared as
Skew Symmetric Bundle Maps, Contemporary Mathematics, Vol. 220, 1998,
pp. 117 - 141.) The version online differs from the original only in the
title and in the statements of Lemma 3.1 (Which is a very important
- A History of Duality in Algebraic Topology ( with James C. Becker),
Chapter 25 of HISTORY OF TOPOLOGY, I. M. James, ed., Elsevier, Amsterdam,
1999, pp. 725 - 745 (This versions differs slightly from the pblished version.)
- The Index of Discontinuous Vector Fields
New York Journal of Mathematics
, 1 (1994-1995), pp. 130-148 ( with Geetha Samarayanake)
- The Odd Image Theorem
, Proceedings of the Seventh Marcel Grossman Conference
on Relativity held at Stanford in July 1994, Part B; ed. R. T. Jantzen and
G. Mac Keiser; World Scientific, New Jersey; pp. 1141 - 1143.
- A Gravitational Lens Need Not Produce an Odd Number of Images
, J. Mathematical Physics, 35 (1994), pp. 5507-5510.
(This is the version which was accepted, but the version printed was changed
- All the Way with Gauss-Bonnet and the Sociology of Mathematics
, American Mathematical Monthly, 103,(1996), pp. 457-469.
- Vector fields and transfers, , Manuscripta Mathematica , 72
(1991) pp. 111-130. (with J.C. Becker)
The Law of Vector Fields ,
Unpublished. (This is a somewhat philosophical paper, written before
"Fuctions and the Unity of Mathematics".)
Vector Fields and Classical Theorems of Topology ,
Rendiconti del Seminario
Matematico e Fisico, Milano, 60 (1990), pp. 193-203.
A De Moivre like Formula for Fixed Point Theory ,
Contemporary Mathematics, vol. 72, 1988, pp. 99-105
Zeroes of pullback vector fields and fixed point theory for bodies ,
Algebraic Topology, Proc. of Intl. Conf. March 21-24, 1988,
Contemporary Mathematics, Vol. 96, pp. 163-180.
Intersection Numbers, Transfers, and Group Actions ,
Topology and its Applications, 55 (1994), pp. 87-100.
(with Murad Ozaydin)
Group Actions and the Singular Set ,
Topology and its Applications, 52 (1993), pp. 51-59.
(with Murad Ozaydin)
Lectures on Vector Fields and the Unity of Mathematics ,
Proceedings of the Topology and Geometry Research Center, TGRC-KOSEF
Department of Mathematics, Kyungpook National University.
ed. Jin Suk Pak and Chan-Young, Vol. 3 (1993), pp. 87-114.
Topology and the Non-existence of Magnetic Monopoles ,
Cubo Matematica Educacional, vol. 2, (May 2000), pp.101 - 121.
Functions and the Unity of Mathematics ,
Unpublished. (This is a somewhat philosophical paper.)
Encyclopaedia of Mathematics Supplement Volume I
Editor-in-Chief: Prof.dr. M. Hazewinkel,
Kluwer Acad. Publ., 1997
P. 90 (The electronic version is not the final version)
The Sullivan Conjecture,
Encyclopaedia of Mathematics Suppliment Vol. II,
Editor-in-Chief: Prof.Dr. M. Hazewinkel,
Kluwer Acad. Publ., (2000), pp. 440 - 441.
(The electronic version is not the final version)
Spaces of Local Vector Fields,
For the Proceedings of the Vassar Conference Honoring Stasheff's 60th
birthday, (with J. C. Becker), January 20, 1997
Contemporary Mathematics, 227, 1999, pp. 21 - 28
Book review of ``Poincare and the Three Body Problem'' by June Barrow-Green
, The American Mathematical Monthly, vol. 106, (1999), pp. 977--980.
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