# Invariants of piecewise-linear knots

Banach Center Publications (1998)

- Volume: 42, Issue: 1, page 307-319
- ISSN: 0137-6934

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topRandell, Richard. "Invariants of piecewise-linear knots." Banach Center Publications 42.1 (1998): 307-319. <http://eudml.org/doc/208815>.

@article{Randell1998,

abstract = {We study numerical and polynomial invariants of piecewise-linear knots, with the goal of better understanding the space of all knots and links. For knots with small numbers of edges we are able to find limits on polynomial or Vassiliev invariants sufficient to determine an exact list of realizable knots. We thus obtain the minimal edge number for all knots with six or fewer crossings. For example, the only knot requiring exactly seven edges is the figure-8 knot.},

author = {Randell, Richard},

journal = {Banach Center Publications},

keywords = {PL-knots; PL-invariants; edge number},

language = {eng},

number = {1},

pages = {307-319},

title = {Invariants of piecewise-linear knots},

url = {http://eudml.org/doc/208815},

volume = {42},

year = {1998},

}

TY - JOUR

AU - Randell, Richard

TI - Invariants of piecewise-linear knots

JO - Banach Center Publications

PY - 1998

VL - 42

IS - 1

SP - 307

EP - 319

AB - We study numerical and polynomial invariants of piecewise-linear knots, with the goal of better understanding the space of all knots and links. For knots with small numbers of edges we are able to find limits on polynomial or Vassiliev invariants sufficient to determine an exact list of realizable knots. We thus obtain the minimal edge number for all knots with six or fewer crossings. For example, the only knot requiring exactly seven edges is the figure-8 knot.

LA - eng

KW - PL-knots; PL-invariants; edge number

UR - http://eudml.org/doc/208815

ER -

## References

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- [13] T. Stanford, personal communication.
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