國立虎尾科技大學 |

Low dimensional topology and number theory = fukuoka, japan, march 15-18, 2022. in memory of Professor Toshie Takata /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Low dimensional topology and number theory/ edited by Masanori Morishita, Hiroaki Nakamura, Jun Ueki.
其他題名:	fukuoka, japan, march 15-18, 2022. in memory of Professor Toshie Takata /
其他作者:	Ueki, Jun.
出版者:	Singapore :Springer Nature Singapore : : 2025.,
面頁冊數:	xii, 379 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Number Theory. -
電子資源:	https://doi.org/10.1007/978-981-97-3778-9
ISBN:	9789819737789

Low dimensional topology and number theory = fukuoka, japan, march 15-18, 2022. in memory of Professor Toshie Takata /
Low dimensional topology and number theoryfukuoka, japan, march 15-18, 2022. in memory of Professor Toshie Takata /[electronic resource] :edited by Masanori Morishita, Hiroaki Nakamura, Jun Ueki. - Singapore :Springer Nature Singapore :2025. - xii, 379 p. :ill. (some col.), digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 4562194-1017 ;. - Springer proceedings in mathematics & statistics ;v.24..

This book is the result of research initiatives formed during the workshop "Low Dimensional Topology and Number Theory XIII" at Kyushu University in 2022. It is also dedicated to the memory of Professor Toshie Takata, who has been a main figure of the session chairs for the series of annual workshops since 2009. The activity was aimed at understanding and deepening recent developments of lively and fruitful interactions between low-dimensional topology and number theory over the past decades. In this volume of proceedings, the reader will find research papers as well as survey articles, including open problems, at the interface between classical and quantum topology, and algebraic and analytic number theory, written by leading experts and active researchers in the respective fields. Topics include, among others, the strong slope conjecture; Kashiwara-Vergne Lie algebra; braids and ﬁbered double branched covers of 3-manifolds; Temperley-Lieb-Jones category and conformal blocks; WRT invariants and false theta functions; the colored Jones polynomial of the ﬁgure-eight knot; potential functions and A-polynomials; l-adic Galois polylogarithms; Dijkgraaf-Witten invariants in Bloch groups; analogies between knots and primes in arithmetic topology; normalized Jones polynomials for rational links; Iwasawa main conjecture; Weber's class number problem. The book provides a valuable resource for researchers and graduate students interested in topics related to both low-dimensional topology and number theory.

ISBN: 9789819737789

Standard No.: 10.1007/978-981-97-3778-9doiSubjects--Topical Terms:

672023
Number Theory.

LC Class. No.: QA612.14

Dewey Class. No.: 514.22

Low dimensional topology and number theory = fukuoka, japan, march 15-18, 2022. in memory of Professor Toshie Takata /
LDR:02688nam a2200325 a 4500 001 1161539
003 DE-He213
005 20250302115223.0
006 m d
007 cr nn 008maaau
008 251029s2025 si s 0 eng d
020 $a 9789819737789 $q (electronic bk.)
020 $a 9789819737772 $q (paper)
024 7 $a 10.1007/978-981-97-3778-9 $2 doi
035 $a 978-981-97-3778-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA612.14
072 7 $a PBP $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBP $2 thema
082 0 4 $a 514.22 $2 23
090 $a QA612.14 $b .L912 2025
245 0 0 $a Low dimensional topology and number theory $h [electronic resource] : $b fukuoka, japan, march 15-18, 2022. in memory of Professor Toshie Takata / $c edited by Masanori Morishita, Hiroaki Nakamura, Jun Ueki.
260 $a Singapore : $c 2025. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a xii, 379 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1017 ; $v v. 456
520 $a This book is the result of research initiatives formed during the workshop "Low Dimensional Topology and Number Theory XIII" at Kyushu University in 2022. It is also dedicated to the memory of Professor Toshie Takata, who has been a main figure of the session chairs for the series of annual workshops since 2009. The activity was aimed at understanding and deepening recent developments of lively and fruitful interactions between low-dimensional topology and number theory over the past decades. In this volume of proceedings, the reader will find research papers as well as survey articles, including open problems, at the interface between classical and quantum topology, and algebraic and analytic number theory, written by leading experts and active researchers in the respective fields. Topics include, among others, the strong slope conjecture; Kashiwara-Vergne Lie algebra; braids and ﬁbered double branched covers of 3-manifolds; Temperley-Lieb-Jones category and conformal blocks; WRT invariants and false theta functions; the colored Jones polynomial of the ﬁgure-eight knot; potential functions and A-polynomials; l-adic Galois polylogarithms; Dijkgraaf-Witten invariants in Bloch groups; analogies between knots and primes in arithmetic topology; normalized Jones polynomials for rational links; Iwasawa main conjecture; Weber's class number problem. The book provides a valuable resource for researchers and graduate students interested in topics related to both low-dimensional topology and number theory.
650 2 4 $a Number Theory. $3 672023
650 1 4 $a Topology. $3 633483
650 0 $a Number theory $v Congresses. $3 680467 $3 742910
650 0 $a Low-dimensional topology $v Congresses. $3 943816
700 1 $a Ueki, Jun. $3 1488473
700 1 $a Nakamura, Hiroaki. $3 1488472
700 1 $a Morishita, Masanori. $3 888942
700 1 $a Takatam Toshie, $e honouree. $3 1488471
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Springer proceedings in mathematics & statistics ; $v v.24. $3 883338
856 4 0 $u https://doi.org/10.1007/978-981-97-3778-9
950 $a Mathematics and Statistics (SpringerNature-11649)