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Braid Indices in a Class of Closed Braids
Title
Braid Indices in a Class of Closed Braids
Author
Hinson, Kenneth
Date Created
2010
Subjects--Topical
Mathematics
Description
A long-standing problem in knot theory concerns the additivity of crossing numbers of links under the connected sum operation. It is conjectured that if L1 and L2 are links, then Cr(L1#L2)=Cr(L1)+Cr(L2), but so far this has been proved only for ce...
Writhe-like Invariants of Alternating Links
Title
Writhe-like Invariants of Alternating Links
Author
Pham, Van
Date Created
2022
Subjects--Topical
Mathematics
Description
This dissertation introduces new invariants for a large class of links in knot theory, called alternating links. It also analyzes the strength of these invariants, that we call writhe-like invariants, in comparison with a few general link invarian...