Khovanov homotopy type, periodic links and localizations
نویسندگان
چکیده
منابع مشابه
Khovanov Homotopy Type, Burnside Category, and Products
In this paper, we give a new construction of a Khovanov homotopy type. We show that this construction gives a space stably homotopy equivalent to the Khovanov homotopy types constructed in [LS14a] and [HKK] and, as a corollary, that those two constructions give equivalent spaces. We show that the construction behaves well with respect to disjoint unions, connected sums and mirrors, verifying se...
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We prove the first conjecture of Bar-Natan, Garoufalidis, and Khovanov on the Khovanov invariant for alternating knots.
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Using Bar-Natan’s Khovanov homology we define a homology theory for links whose components are labelled by irreducible representations of Uq(sl2). We then compute this explicitly.
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In the last few years, knot theory has enjoyed a rapidly developing generalisation, the Virtual knot theory, proposed by Louis Kauffman in 1996, see [Kau2]. A virtual link is a combinatorial generalisation of the notion of classical links: we consider planar diagrams with a new crossing type allowed; this new crossing (called virtual and marked by a circle) is neither an overcrossing nor an und...
متن کاملTHE HOMOTOPY GROUPS OF tmf AND OF ITS LOCALIZATIONS
(1) π∗(S) −→ π∗(tmf ) −→ MF∗ that we now describe. Both maps are surprisingly close to being isomorphisms (even though π∗(S) and MF∗ have nothing to do with each other). The first map (1) is the Hurewitz homomorphism: being a ring spectrum, tmf admits a unit map from the sphere spectrum S. This induces a map in homotopy π∗(S) → π∗(tmf ), which is an isomorphism on π0. The only torsion in π∗(tmf...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2021
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-021-02157-y