Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Anghel, Cristina"'
We give the first known topological model for the HOMFLY-PT polynomial. More precisely, we prove that this invariant is given by a set of graded intersections between explicit Lagrangian submanifolds in a fixed configuration space on a Heegaard surfa
Externí odkaz:
http://arxiv.org/abs/2405.03679
Autor:
Anghel, Cristina Ana-Maria
We construct geometrically a {\bf \em universal ADO link invariant} as a limit of {invariants given by graded intersections in configuration spaces}. The question of providing a link invariant that recovers the coloured Alexander invariants for colou
Externí odkaz:
http://arxiv.org/abs/2401.17245
Autor:
Anghel, Cristina Ana-Maria
We consider two Laurent polynomials in two variables associated to a braid, given by {\em graded intersections} between {\em fixed Lagrangians in configuration spaces}. In order to get link invariants, we notice that we have to quotient by a quadrati
Externí odkaz:
http://arxiv.org/abs/2205.07842
Autor:
Anghel, Cristina Ana-Maria
In this paper we show that coloured Jones and coloured Alexander polynomials can both be read off from the same picture provided by two Lagrangians in a symmetric power of a surface. More specifically, the $N^{th}$ coloured Jones and $N^{th}$ coloure
Externí odkaz:
http://arxiv.org/abs/2111.01125
Autor:
Anghel, Cristina Ana-Maria
In this paper we construct a topological model for the Witten-Reshetikhin-Turaev invariants for $3$-manifolds coming from the quantum group $U_q(sl(2))$, as graded intersection pairings of homology classes in configuration spaces. More precisely, for
Externí odkaz:
http://arxiv.org/abs/2104.02049
We study homological representations of mapping class groups, including the braid groups. These arise from the twisted homology of certain configuration spaces, and come in many different flavours. Our goal is to give a unified general account of the
Externí odkaz:
http://arxiv.org/abs/2011.02388
We examine two different m-traces in the category of representations over the quantum Lie superalgebra associated to $\mathfrak{sl}(m|n)$ at root of unity. The first m-trace is on the ideal of projective modules and leads to new Extended Topological
Externí odkaz:
http://arxiv.org/abs/2010.13759
Autor:
Anghel, Cristina Ana-Maria
In this paper we prove a unified model for $U_q(sl(2))$ quantum invariants through intersections of embedded Lagrangians in configuration spaces. More specifically, we construct a {\em state sum of Lagrangian intersections in the configuration space
Externí odkaz:
http://arxiv.org/abs/2010.05890
Autor:
Anghel, Cristina Ana-Maria
The ADO invariants are a sequence of non-semisimple quantum invariants coming from the representation theory of the quantum group $U_q(sl(2))$ at roots of unity. Ito showed that these invariants are sums of traces of quotients of homological represen
Externí odkaz:
http://arxiv.org/abs/2007.15616