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5 results on '"Krcatovich, David"'

4. LINKS WITH NON-TRIVIAL ALEXANDER POLYNOMIAL WHICH ARE TOPOLOGICALLY CONCORDANT TO THE HOPF LINK.

Author

MIN HOON KIM, KRCATOVICH, DAVID, and JUNGHWAN PARK

Subjects
*POLYNOMIALS, *FLOER homology
Abstract

We give infinitely many 2-component links with unknotted components which are topologically concordant to the Hopf link, but not smoothly concordant to any 2-component link with trivial Alexander polynomial. Our examples are pairwise non-concordant. [ABSTRACT FROM AUTHOR]

Published
2019
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5. Resolution depth of positive braids.

Author

Kaplan, Elliot, Krcatovich, David, and O'Brien, Patricia

Subjects
*BRAID theory, *NUMBER theory, *MEASURE theory, *POLYNOMIALS, *ITERATIVE methods (Mathematics), *MATHEMATICAL bounds
Abstract

The depth of a link measures the minimum height of a resolving tree for the link whose leaves are all unlinks. We show that the depth of the closure of a strictly positive braid word is the length of the word minus the number of distinct letters. [ABSTRACT FROM AUTHOR]

Published
2015
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