慶應義塾大学 理工学部 数理科学科

微分幾何・トポロジーセミナー

タイトル Some applications of character varieties
開催日時 2018年5月22日 16:30~18:00
主催者
講演者 Anh T. Tran 氏(The University of Texas at Dallas)
場所 矢上キャンパス14-733(14棟7階ミーティング3)
内容 In this talk, we will discuss some applications of character varieties in topology and knot theory. These include:
1) the AJ conjecture which relates character varieties (more precisely, the A-polynomial) and the Jones polynomial of a knot;
2) the hyperbolic torsion conjecture which relates the twisted Alexander polynomial and the genus and fiberedness of a link;
3) the L-space conjecture which relates L-spaces and the left-orderablility of their fundamental groups; and
4) epimorphisms of knot groups.
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