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TWISTED ALEXANDER INVARIANTS, REIDEMEISTER TORSION, AND CASSON–GORDON INVARIANTS
- P. Kirk, C. Livingston
- Mathematics
- 1 May 1999
Lecture notes in algebraic topology
- J. F. Davis, P. Kirk
- Mathematics
- 2001
Chain complexes, homology, and cohomology Homological algebra Products Fiber bundles Homology with local coefficients Fibrations, cofibrations and homotopy groups Obstruction theory and…
Chern-Simons invariants of 3-manifolds and representation spaces of knot groups
- P. Kirk, E. Klassen
- Mathematics
- 1 March 1990
THE GASSNER REPRESENTATION FOR STRING LINKS
- P. Kirk, C. Livingston, Z. Wang
- Mathematics
- 8 June 1998
The Gassner representation of the pure braid group to $GL_n(Z[Z^n])$ can be extended to give a representation of the concordance group of $n$-strand string links to $GL_n(F)$, where $F$ is the field…
Chern-Simons invariants of 3-manifolds decomposed along tori and the circle bundle over the representation space ofT2
- P. Kirk, E. Klassen
- Mathematics
- 1 May 1993
We describe a cut-and-paste method for computing Chern-Simons invariant of flatG-connections on 3-manifolds decomposed along tori, especially forG=SU(2) andSL(2,C). We use this method to make…
Non-slice linear combinations of algebraic knots
- M. Hedden, P. Kirk, C. Livingston
- Mathematics
- 7 September 2009
We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.
Vassiliev invariants of two component links and the Casson-Walker invariant
- P. Kirk, C. Livingston
- Mathematics
- 1 November 1997
A symplectic manifold homeomorphic but not diffeomorphic to CP2#3CP2
- S. Baldridge, P. Kirk
- Mathematics
- 8 February 2007
In this paper we construct a minimal symplectic 4-manifold and prove it is homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)
Constructions of small symplectic 4-manifolds using Luttinger surgery
- S. Baldridge, P. Kirk
- Mathematics
- 2 March 2007
In this article we use the technique of Luttinger surgery to produce small examples of simply connected and non-simply connected minimal symplectic 4-manifolds. In particular, we construct: (1) An…
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