GREG FRIEDMAN
E-mail:g.friedman@tcu.edu
Department of Mathematics
Texas Christian University
TCU Box 298900
Fort Worth, TX 76129
Ph. 817-257-6343
My CV
My schedule for Spring 2008.
Web pages for courses I'm teaching:
Calculus II
Introduction to Ordinary Differential Equations
Slides of recent talks
My talk on Poincare Duality on Homotopically Stratified Spaces given at Singularities in Geometry and Topology, in honor of the 60th birthday of Sylvain Cappell, March 17, 2008.
Here is a more printer friendly version of the same talk without overlays.
Here are some notes
on doing proofs that I'm working on. They're intended for undergraduates just learning
how to prove things.
And here are some topology notes that I've acquired over time. These are mostly hard-to-find seminar notes and the like.
Research Interests:
Algebraic and geometric topology, especially stratified spaces, intersection homology, and knot theory
Publications
Papers in preparation:
-
Intersection homology with field coefficients: K-Witt spaces and K-Witt bordism
pdf - ps (26
pages)
-
On the chain-level intersection pairing for PL pseudomanifolds (Updated and corrected - March 28, 2008)
pdf (50 pages)
Submitted papers:
-
An intersection homology Kunneth theorem
pdf - ps (10
pages)
-
Intersection homology and Poincare duality on homotopically stratified spaces
pdf ps(35 pages)
Accepted papers:
-
Intersection homology of stratified fibrations and neighborhoods
Advances in Mathematics 215 (2007), 24--65
pdf - ps (45 pages)
-
Cobordism of disk knots
to appear in the Israel Journal of Mathematics
pdf
ps (42 pages)
-
There exist non-trivial PL knots whose complements are homotopy circles
Fundamenta Mathematicae 193 (2007), 1--6
pdf - ps (7
pages)
-
A multiperversity generalization of intersection homology
(with Gil Kalai, Hebrew University and Yale University)
Pure and Applied Mathematics Quarterly 3 (2007), Special Issue: In honor of Robert MacPherson, Part 3 of 3, 205--224
pdf - ps (18 pages)
-
Singular chain intersection homology for traditional and
super-perversities
Transactions of the American Mathematical Society 359 (2007), 1977-2019
pdf - ps (46 pages)
-
Superperverse intersection cohomology: stratification
(in)dependence
Mathematische Zeitschrift 252 (2006), 49 - 70
pdf - ps (21 pages)
Important note: The citation to Glen Bredon's Topology and
Geometry is incorrect. Instead the citation should be to
Bredon's Sheaf Theory, 2nd Ed., Springer (1997).
-
Knot spinning
in the Handbook
of Knot Theory, edited by William Menasco and
Morwen Thistlethwaite, Elsevier Science (July 9, 2005)
pdf - ps (23 pages)
-
Triangulations of 3-dimensional pseudomanifolds with an application
to state-sum invariants (with Markus Banagl, Universitat
Heidelberg)
Algebraic and Geometric Topology 4 (2004), 521-542
pdf - ps (22 pages)
-
Intersection homology of regular and cylindrical neighborhoods
Topology and Its Applications 149 (2005), 97-148
pdf - ps
(49 pages)
-
Groups of locally-flat disk knots and non-locally-flat sphere
knots
Journal of Knot Theory and Its
Ramifications 14 (2005), 189-215
pdf - ps
(25 pages)
-
All frame-spun knots are slice
Proceedings of the American Mathematical Society 132 (2004),
3103-3109
pdf -
ps (8 pages)
-
Stratified fibrations and the intersection homology
of the regular neighborhoods of bottom strata
Topology and Its Applications 134 (2003), 69-109
pdf - ps
-
Intersection Alexander polynomials
Topology 43 (2004), 71-117
pdf - ps
-
Alexander polynomials of non-locally-flat knots
Indiana
University Mathematics Journal 52 (2003), 1479-1578
pdf - ps