• Publications
  • Influence
Lecture notes in algebraic topology
Chain complexes, homology, and cohomology Homological algebra Products Fiber bundles Homology with local coefficients Fibrations, cofibrations and homotopy groups Obstruction theory and
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
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
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.
A symplectic manifold homeomorphic but not diffeomorphic to CP2#3CP2
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
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