자료유형  

 학위논문

Control Number  

0016932469

International Standard Book Number  

9798379719197

Dewey Decimal Classification Number  

510

Main Entry-Personal Name  

Ballinger, William.

Publication, Distribution, etc. (Imprint  

[S.l.] : Princeton University., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(49 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

General Note  

Advisor: Szabo, Zoltan.

Dissertation Note  

Thesis (Ph.D.)--Princeton University, 2023.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약In this thesis, I prove that for the E(−1) spectral sequence constructed by Rasmussen, beginning at the Khovanov-Rozansky sl(n) homology of a knot and converging to the homology of the unknot, all higher pages are knot invariants. This is then used to construct a number of numerical knot invariants, each of which is a concordance homomorphism, and these new invariants are applied to obstruct non-orientable surfaces or surfaces in connected sums of ℂP2 from bounding a knot, as well as to bounds on the smooth slice genus.

Subject Added Entry-Topical Term  

Mathematics.

Subject Added Entry-Topical Term  

Theoretical mathematics.

Index Term-Uncontrolled  

Knot concordance

Index Term-Uncontrolled  

Matrix factorizations

Index Term-Uncontrolled  

Knot invariants

Index Term-Uncontrolled  

Khovanov-Rozansky homology

Added Entry-Corporate Name  

Princeton University Mathematics

Host Item Entry  

Dissertations Abstracts International. 84-12B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:642776