D. H. Gottlieb's Recent Papers
Here is a list of Dan Gottlieb's publications with some additional
.pdf files,
- 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
correction).
- 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
in proofs)
- 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Unpublished.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.)
-
Becker-Gottlieb Transfer,
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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