Semantic Scholar
Open Access
2016
43 sitasi
The colored HOMFLYPT function is $q$-holonomic
S. Garoufalidis
A. Lauda
Thang T. Q. Lê
Abstrak
We prove that the HOMFLYPT polynomial of a link, colored by partitions with a xed number of rows is a q-holonomic function. Specializing to the case of knots colored by a partition with a single row, it proves the existence of an (a;q) super-polynomial of knots in 3-space, as was conjectured by string theorists. Our proof uses skew Howe duality that reduces the evaluation of web diagrams and their ladders to a Poincare-Birkho- Witt computation of an auxiliary quantum group of rank the number of strings of the ladder diagram.
Topik & Kata Kunci
Penulis (3)
S
S. Garoufalidis
A
A. Lauda
T
Thang T. Q. Lê
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2016
- Bahasa
- en
- Total Sitasi
- 43×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1215/00127094-2017-0030
- Akses
- Open Access ✓