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A new polynomial invariant of knots and links
The purpose of this note is to announce a new isotopy invariant of oriented links of tamely embedded circles in 3-space. We represent links by plane projections, using the customary conventions thatExpand
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A polynomial invariant of oriented links
THE THEORY of classical knots and links of simple closed curves in the 3-dimensional sphere has, for very many years, occupied a pre-eminent position in the theory of low dimensional manifolds. ItExpand
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Conservation of complex knotting and slipknotting patterns in proteins
While analyzing all available protein structures for the presence of knots and slipknots, we detected a strict conservation of complex knotting patterns within and between several protein familiesExpand
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KNOTTING OF REGULAR POLYGONS IN 3-SPACE
The probability that a linear embedding of a regular polygon in R3 is knotted should increase as a function of the number of sides. This assertion is investigated by means of an exploration of theExpand
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FOLIATIONS WITH ALL LEAVES COMPACT
(Received 20 October 1975) §1. THE PLr~OSE of this paper is to present some information about the following Question: I[ M is a compact manifold [oliated by compact submani[olds (everything smooth),Expand
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A polynomial invariant for unoriented knots and links
Nutzungsbedingungen DigiZeitschriften e.V. gewährt ein nicht exklusives, nicht übertragbares, persönliches und beschränktes Recht auf Nutzung dieses Dokuments. Dieses Dokument ist ausschließlich fürExpand
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KnotProt: a database of proteins with knots and slipknots
TLDR
The protein topology database KnotProt, http://knotprot.uw.edu.pl/, collects information about protein structures with open polypeptide chains forming knots or slipknots. Expand
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Some evaluations of link polynomials
For every oriented link L in the 3-sphere there is a 2-variable Laurent polynomial PL(f, m ) ~ 7/[/? ±1, m±l]. It is defined uniquely by the formulae (i) Pv = 1 for the unknot U; (ii) ~?PL+ + e-XPL_Expand
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Leaves Without Holonomy
This result is also due independently to G. Hector [3], who has shown how useful it can be in understanding the geometry of certain foliated manifolds. In such applications one sometimes needs a formExpand
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Making Large Lectures Effective: An Effort to Increase Student Success
1. INTRODUCTIONAs is the case with many college and university professors, I regularly ‘teach’groups of 100 or more students gathered together several times each week in alecture hall. MoreExpand
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