{"arxiv_id":"1309.7662","incoming":{"papers":3,"sentences":6,"groups":[{"kind":"background","label":"Cites it as background","papers":3,"sentences":4,"quotes":[{"arxiv_id":"1308.1468","title":"Reflection factorizations of Singer cycles","url":"/paper/1308.1468","section":"The approach of Hausel, Letellier, and Rodriguez-Villegas","sentence":"The number of factorizations $g=t_1 t_2 ⋯t_ℓ$ where $t_1,…,t_ℓ,g$ come from specified $GL_n(_q)$ conjugacy classes $C_1,…,C_ℓ,C_ℓ+1$ appears in work of Hausel, Letellier, and Rodriguez-Villegas [ref] and more recently Letellier [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"1401.0228","title":"E-polynomial of SL(2,C)-Character Varieties of Free groups","url":"/paper/1401.0228","section":"Introduction","sentence":"In recent years there has been many new results concerning the $E$-polynomial of twisted character varieties: [ref] , [ref] , [ref] , [ref] and [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1804.08364","title":"Twisted spectral correspondence and torus knots","url":"/paper/1804.08364","section":"Introduction","sentence":"There have been several approaches from different viewpoints to this question, by using arithmetic methods for character varieties [ref] , and by using arithmetic and/or motivic methods for Higgs bundles [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":2},"outgoing":{"papers":3,"sentences":5,"groups":[{"kind":"background","label":"Cites as background","papers":3,"sentences":4,"quotes":[{"arxiv_id":"1104.5558","title":"On the motives of moduli of chains and Higgs bundles","url":"/paper/1104.5558","section":"Computing the cohomology of character varieties: State of the art","sentence":"The cohomology of the $_n$ (or $SL_n$)- character varieties $_B^d$ and $_Dol^d$ has been the object of a very intensive study in the literature starting from Hitchin [ref] until recent work by Hausel-Villegas [ref] , de Cataldo-Hausel-Miggliorini [ref] , Logares-Muñoz-Newstead [ref] , Garcia-Prada, Heinloth, Schmitt [ref] and Chaudouard-Laumon [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1106.6011","title":"Hodge-Deligne polynomials of SL(2,C)-character varieties for curves of small genus","url":"/paper/1106.6011","section":"Computing the cohomology of character varieties: State of the art","sentence":"The cohomology of the $_n$ (or $SL_n$)- character varieties $_B^d$ and $_Dol^d$ has been the object of a very intensive study in the literature starting from Hitchin [ref] until recent work by Hausel-Villegas [ref] , de Cataldo-Hausel-Miggliorini [ref] , Logares-Muñoz-Newstead [ref] , Garcia-Prada, Heinloth, Schmitt [ref] and Chaudouard-Laumon [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1307.7273","title":"Sur le comptage des fibr\\'es de Hitchin nilpotents","url":"/paper/1307.7273","section":"Computing the cohomology of character varieties: State of the art","sentence":"The cohomology of the $_n$ (or $SL_n$)- character varieties $_B^d$ and $_Dol^d$ has been the object of a very intensive study in the literature starting from Hitchin [ref] until recent work by Hausel-Villegas [ref] , de Cataldo-Hausel-Miggliorini [ref] , Logares-Muñoz-Newstead [ref] , Garcia-Prada, Heinloth, Schmitt [ref] and Chaudouard-Laumon [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":1},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1309.7662"}}