The homotopy theory of Khovanov homology

TY - JOUR

T1 - The homotopy theory of Khovanov homology

AU - Everitt, Brent

AU - Turner, Paul

N1 - Reproduced with permission from the publisher.

PY - 2014/11/5

Y1 - 2014/11/5

N2 - Given an oriented link diagram we construct a spectrum whose homotopy type is a link invariant and whose homotopy groups are the Khovanov homology of the link. A key ingredient is the identification of unnormalised Khovanov homology with the derived functors of the inverse limit.

AB - Given an oriented link diagram we construct a spectrum whose homotopy type is a link invariant and whose homotopy groups are the Khovanov homology of the link. A key ingredient is the identification of unnormalised Khovanov homology with the derived functors of the inverse limit.

U2 - 10.2140/agt.2014.14.2747

DO - 10.2140/agt.2014.14.2747

M3 - Article

SN - 1472-2747

VL - 14

SP - 2747

EP - 2781

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 5

ER -