The Conway knot has infinite concordance order
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Abstract
We examine how the Rasmussen invariant, satellite operations, and null-homologous twists can be used to establish infinite order of knots in the smooth concordance group. As an application, we show that the Conway knot has infinite concordance order.
Ancillary-file links:
Ancillary files (details):
- BPH/BPH_slice_knots.csv
- BPH/BPH_sliceness_and_Cplus_minus.html
- BPH/BPH_sliceness_and_Cplus_minus.ipynb
- BPH/knots_in_C_minus.csv
- BPH/knots_in_C_plus.csv
- BPH/unclear_BPH_sliceness_status.csv
- BPH/unclear_C_minus_status.csv
- BPH/unclear_C_plus_status.csv
- Piccirillo-friends/Piccirillo_friends_sorted_by_crossing_number_of_friend.csv
- Piccirillo-friends/Piccirillo_friends_sorted_by_name.csv
- Rasmussen-computations/computational-results.csv
- Rasmussen-computations/extract-rasmussen.py
- Satellites/hfkmorse2morse.py
- Satellites/morse2pd.py
- Satellites/satellite.py