Knot and braid invariants from contact homology I
Publication
, Journal Article
Ng, L
Published in: Geometry and Topology
January 26, 2005
We introduce topological invariants of knots and braid conjugacy classes, in the form of differential graded algebras, and present an explicit combinatorial formulation for these invariants. The algebras conjecturally give the relative contact homology of certain Legendrian tori in five-dimensional contact manifolds. We present several computations and derive a relation between the knot invariant and the determinant.
Duke Scholars
Published In
Geometry and Topology
DOI
EISSN
1465-3060
ISSN
1465-3060
Publication Date
January 26, 2005
Volume
9
Start / End Page
247 / 297
Related Subject Headings
- Geological & Geomatics Engineering
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Ng, L. (2005). Knot and braid invariants from contact homology I. Geometry and Topology, 9, 247–297. https://doi.org/10.2140/gt.2005.9.247
Ng, L. “Knot and braid invariants from contact homology I.” Geometry and Topology 9 (January 26, 2005): 247–97. https://doi.org/10.2140/gt.2005.9.247.
Ng L. Knot and braid invariants from contact homology I. Geometry and Topology. 2005 Jan 26;9:247–97.
Ng, L. “Knot and braid invariants from contact homology I.” Geometry and Topology, vol. 9, Jan. 2005, pp. 247–97. Scopus, doi:10.2140/gt.2005.9.247.
Ng L. Knot and braid invariants from contact homology I. Geometry and Topology. 2005 Jan 26;9:247–297.
Published In
Geometry and Topology
DOI
EISSN
1465-3060
ISSN
1465-3060
Publication Date
January 26, 2005
Volume
9
Start / End Page
247 / 297
Related Subject Headings
- Geological & Geomatics Engineering
- 4904 Pure mathematics
- 0101 Pure Mathematics