Strictification of categories weakly enriched in symmetric monoidal categories
B Guillou - arXiv preprint arXiv:0909.5270, 2009 - arxiv.org
arXiv:0909.5270v1 [math.CT] 29 Sep 2009 Page 1 arXiv:0909.5270v1 [math.CT] 29 Sep
2009 STRICTIFICATION OF CATEGORIES WEAKLY ENRICHED IN SYMMETRIC …
2009 STRICTIFICATION OF CATEGORIES WEAKLY ENRICHED IN SYMMETRIC …
Braided injections and double loop spaces
C Schlichtkrull, M Solberg - Transactions of the American Mathematical …, 2016 - ams.org
We consider a framework for representing double loop spaces (and more generally $ E_2 $
spaces) as commutative monoids. There are analogous commutative rectifications of …
spaces) as commutative monoids. There are analogous commutative rectifications of …
The spectrum for commutative complex K–theory
S Gritschacher - Algebraic & Geometric Topology, 2018 - msp.org
We study commutative complex K–theory, a generalised cohomology theory built from
spaces of ordered commuting tuples in the unitary groups. We show that the spectrum for …
spaces of ordered commuting tuples in the unitary groups. We show that the spectrum for …
Khovanov spectra for tangles
Quantum topology began in the 1980s with the Jones polynomial [29] and Witten's
reinterpretation of it via Yang–Mills theory [59]. Witten's work was at a physical level of rigor …
reinterpretation of it via Yang–Mills theory [59]. Witten's work was at a physical level of rigor …
Multiplicativity in Mandell's Inverse K-theory
AD Elmendorf - arXiv preprint arXiv:2110.07512, 2021 - arxiv.org
We show that Mandell's inverse $ K $-theory functor from $\Gamma $-categories to
permutative categories preserves multiplicative structure. This is a first step towards an …
permutative categories preserves multiplicative structure. This is a first step towards an …
[HTML][HTML] Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives
G Tabuada - Advances in Mathematics, 2014 - Elsevier
We prove that the quotient of Voevodsky's category of geometric mixed motives DM gm by
the endofunctor−⊗ Q (1)[2] embeds fully-faithfully into Kontsevich's category of …
the endofunctor−⊗ Q (1)[2] embeds fully-faithfully into Kontsevich's category of …
Yang–Mills theory over surfaces and the Atiyah–Segal theorem
DA Ramras - Algebraic & Geometric Topology, 2008 - msp.org
In this paper we explain how Morse theory for the Yang–Mills functional can be used to
prove an analogue for surface groups of the Atiyah–Segal theorem. Classically, the Atiyah …
prove an analogue for surface groups of the Atiyah–Segal theorem. Classically, the Atiyah …
Jones-Wenzl projectors and the Khovanov homotopy of the infinite twist
M Stoffregen, M Willis - arXiv preprint arXiv:2402.10332, 2024 - arxiv.org
We construct and study a lift of Jones-Wenzl projectors to the setting of Khovanov spectra,
and provide a realization of such lifted projectors via a Cooper-Krushkal-like sequence of …
and provide a realization of such lifted projectors via a Cooper-Krushkal-like sequence of …
Multifunctorial Equivariant Algebraic K-Theory
D Yau - arXiv preprint arXiv:2404.02794, 2024 - arxiv.org
A central question in equivariant algebraic K-theory asks whether there exists an equivariant
K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra …
K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra …
[PDF][PDF] Spatial refinements and Khovanov homology
R Lipshitz, S Sarkar - arXiv preprint arXiv:1709.03602, 2017 - arxiv.org
arXiv:1709.03602v2 [math.GT] 13 Nov 2021 Page 1 arXiv:1709.03602v2 [math.GT] 13 Nov
2021 Spatial refinements and Khovanov homology Robert Lipshitz∗ Sucharit Sarkar† Abstract …
2021 Spatial refinements and Khovanov homology Robert Lipshitz∗ Sucharit Sarkar† Abstract …