Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Zsuzsanna Dancso"'
Publikováno v:
Transactions of the American Mathematical Society. 376:3265-3317
In [Math. Ann. 367 (2017), pp. 1517–1586] Bar-Natan and the first author show that solutions to the Kashiwara–Vergne equations are in bijection with certain knot invariants: homomorphic expansions of welded foams. Welded foams are a class of knot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8867153e347de278e055bc3cf5bf320
https://doi.org/10.1090/tran/8761
https://doi.org/10.1090/tran/8761
Publikováno v:
Journal of Knot Theory and Its Ramifications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d519ad242dff94f97ba1a3f1ece5951b
https://doi.org/10.1142/s0218216523400035
https://doi.org/10.1142/s0218216523400035
Publikováno v:
Algebr. Geom. Topol. 20, no. 7 (2020), 3733-3760
We explain a direct topological proof for the multiplicativity of Duflo isomorphism for arbitrary finite dimensional Lie algebras, and derive the explicit formula for the Duflo map. The proof follows a series of implications, starting with "the calcu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d26fc56dc78f05533960a1e00a9c463d
https://doi.org/10.2140/agt.2020.20.3733
https://doi.org/10.2140/agt.2020.20.3733
Autor:
Alice Motion, Jaime Gongora, Tina L. Bell, Thomas Hubble, Rosanne Quinnell, Glenda M. Wardle, Melinda Lewis, Paul Rhodes, Dominic Murphy, Rebecca Cross, Zsuzsanna Dancso
In the last decade, the Australian higher education sector has championed the inclusion of cultural competence (CC) as a key graduate quality. Diverse disciplinary learning and teaching approaches requiring careful consideration about how best to ach
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::378c085908b5347e69257b0d1ef23d3d
https://hdl.handle.net/10453/151296
https://hdl.handle.net/10453/151296
Autor:
Anthony Licata, Zsuzsanna Dancso
Publikováno v:
Journal of Combinatorial Theory, Series A. 185:105534
We provide a homological algebraic realization of the lattices of integer cuts and integer flows of graphs. To a finite 2-edge-connected graph Γ with a spanning tree T, we associate a finite dimensional Koszul algebra A Γ , T . Under the constructi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16e3617bdeb9ae46ca6d978e281bd151
https://doi.org/10.1016/j.jcta.2021.105534
https://doi.org/10.1016/j.jcta.2021.105534
Publikováno v:
Journal of Pure and Applied Algebra. 225:106767
Circuit algebras, introduced by Bar-Natan and the first author, are a generalization of Jones's planar algebras, in which one drops the planarity condition on "connection diagrams". They provide a useful language for the study of virtual and welded t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b68c3c3d81737809f46f737784c85236
https://doi.org/10.1016/j.jpaa.2021.106767
https://doi.org/10.1016/j.jpaa.2021.106767
Autor:
Dror Bar-Natan, Zsuzsanna Dancso
Publikováno v:
Mathematische Annalen. 367:1517-1586
This is the second in a series of papers dedicated to studying w-knots, and more generally, w-knotted objects (w-braids, w-tangles, etc.). These are classes of knotted objects that are wider but weaker than their “usual” counterparts. To get (say
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d2363ec200ba9f57c3ba176ff385267
https://doi.org/10.1007/s00208-016-1388-z
https://doi.org/10.1007/s00208-016-1388-z
Autor:
Zsuzsanna Dancso, Anthony Licata
We define several homology theories for central hyperplane arrangements, categorifying well-known polynomial invariants including the characteristic polynomial, Poincare polynomial, and Tutte polynomial. We consider basic algebraic properties of such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6adf10bdd55ab4eab1cff7862ebb908c
http://arxiv.org/abs/1205.2784
http://arxiv.org/abs/1205.2784
Autor:
Dror Bar-Natan, Zsuzsanna Dancso
It had been known since old times [MO, Da] that there exists a universal finite type invariant ("an expansion") Z^{old} for Knotted Trivalent Graphs (KTGs), and that it can be chosen to intertwine between some of the standard operations on KTGs and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5478b5d2e28782b579cae08f5bd1d2ef
http://arxiv.org/abs/1103.1896
http://arxiv.org/abs/1103.1896
Autor:
Zsuzsanna Dancso, Dror Bar-Natan
In [F] H. Furusho proves the beautiful result that of the three defining equations for associators, the pentagon implies the two hexagons (see also [W]). In this note we present a simpler proof for this theorem (although our paper is less dense, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6ec4942633d46cbf79e65c6280b38af