Alexander Polynomial - Relations To Satellite Operations

Relations To Satellite Operations

If a knot is a satellite knot with companion i.e.: there exists an embedding such that where is an unknotted solid torus, then . Where is the integer that represents in .

Examples: For a connect-sum . If is an untwisted Whitehead double, then .

Read more about this topic:  Alexander Polynomial

Famous quotes containing the words relations to, relations, satellite and/or operations:

    Actually, the laboring man has not leisure for a true integrity day by day; he cannot afford to sustain the manliest relations to men; his labor would be depreciated in the market.
    He has no time to be anything but a machine.
    Henry David Thoreau (1817–1862)

    In today’s world parents find themselves at the mercy of a society which imposes pressures and priorities that allow neither time nor place for meaningful activities and relations between children and adults, which downgrade the role of parents and the functions of parenthood, and which prevent the parent from doing things he wants to do as a guide, friend, and companion to his children.
    Urie Bronfenbrenner (b. 1917)

    Books are the best things, well used; abused, among the worst. What is the right use? What is the one end, which all means go to effect? They are for nothing but to inspire. I had better never see a book, than to be warped by its attraction clean out of my own orbit, and made a satellite instead of a system.
    Ralph Waldo Emerson (1803–1882)

    You can’t have operations without screams. Pain and the knife—they’re inseparable.
    —Jean Scott Rogers. Robert Day. Mr. Blount (Frank Pettingell)