activity
20172026
most citedLawrence-Bigelow representations, bases and duality

4 citations · 10 across the 14 of their papers we have counts for

collaborators

16 papers

cs.CV2026

Visual Evidence Under Cross-Examination: Evaluating and Controlling Decision-Level Evidence Use in Vision-Language Models

Huiyao Zhang, Jin Bai, Zilong Su +6

Vision-language models increasingly reason through crops, regions, and tool-produced observations. Yet an observation can influence the answer without benefiting the candidate it s…

math.GT2026

Maximal universal invariants from finite quotients of Verma modules

Cristina Ana-Maria Anghel, Jun Murakami

We construct a sequence of new universal quantum knot invariants that are lifts of both the semi-simple and non semi-simple quantum knot invariants. More specifically,…

math.GT2026

Quantum braid Floer homology

Cristina Ana-Maria Anghel, András Juhász

Given a braid whose closure is a knot, we associate to it a doubly pointed Heegaard diagram with additional marked points that we call a quantum Heegaard diagram. This is obtained…

math.GT2024

A topological model for the HOMFLY-PT polynomial

Cristina Ana-Maria Anghel, Christine Ruey Shan Lee

We give the first known topological model for the HOMFLY-PT polynomial constructed directly from link diagrams. More precisely, we prove that this invariant is given by graded inte…

math.GT2024

Geometric universal Jones invariant from configurations on ovals in the disc

Cristina Ana-Maria Anghel

We construct geometrically a universal Jones invariant as a limit of invariants given by graded intersections in configuration spaces. For any fixed level , we define a…

math.GT2022★ 1 cited

A globalisation of Jones and Alexander polynomials constructed from a graded intersection of two Lagrangians in a configuration space

Cristina Ana-Maria Anghel

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…

math.GT2021

-quantum invariants from an intersection of two Lagrangians in a symmetric power of a surface

Cristina Ana-Maria Anghel

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 surfac…

math.GT2021

Witten-Reshetikhin-Turaev invariants for 3-manifolds from Lagrangian intersections in configuration spaces

Cristina Ana-Maria Anghel

In this paper we construct a topological model for the Witten-Reshetikhin-Turaev invariants for -manifolds coming from the quantum group , as graded intersection pai…

math.GT2020★ 4 cited

Lawrence-Bigelow representations, bases and duality

Cristina Ana-Maria Anghel, Martin Palmer

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 di…

math.GT2020

Relative (pre)-modular categories from special linear Lie superalgebras

Cristina Ana-Maria Anghel, Nathan Geer, Bertrand Patureau-Mirand

We examine two different m-traces in the category of representations over the quantum Lie superalgebra associated to at root of unity. The first m-trace is on…

math.GT2020★ 3 cited

quantum invariants unified via intersections of embedded Lagrangians

Cristina Ana-Maria Anghel

In this paper we prove a unified model for quantum invariants through intersections of embedded Lagrangians in configuration spaces. More specifically, we construct a…

math.GT2020

ADO invariants directly from partial traces of homological representations

Cristina Ana-Maria Anghel

The ADO invariants are a sequence of non-semisimple quantum invariants coming from the representation theory of the quantum group at roots of unity. Ito showed that th…

math.GT2020★ 1 cited

Coloured Jones and Alexander polynomials as topological intersections of cycles in configuration spaces

Cristina Ana-Maria Anghel

Coloured Jones and Alexander polynomials are sequences of quantum invariants recovering the Jones and Alexander polynomials at the first terms. We show that they can be seen concep…

math.GT2019

A topological model for the coloured Alexander invariants

Cristina Ana-Maria Anghel

Coloured Alexander polynomials form a sequence of non-semisimple quantum invariants coming from the representation theory of the quantum group at roots of unity. This…

math.QA2017★ 1 cited

A combinatorial description of the centralizer algebras connected to the Links-Gould Invariant

Cristina Ana-Maria Anghel

In this paper we study the tensor powers of the standard representation of the quantum super-algebra , focusing on the rings of its algebra endomorphisms, called centr…

math.GT2017

A topological model for the coloured Jones polynomials

Cristina Ana-Maria Anghel

In this paper we will present a homological model for Coloured Jones Polynomials. For each colour , we will describe the invariant as a graded interse…