Algebraic Topology and Related Topics PDF
Preview Algebraic Topology and Related Topics
Trends in Mathematics Mahender Singh Yongjin Song Jie Wu Editors Algebraic Topology and Related Topics Trends in Mathematics Trends in Mathematics is a series devoted to the publications of volumes arising fromconferences andlecture series focusing onaparticulartopicfrom anyarea of mathematics.Itsaimistomakecurrentdevelopmentsavailabletothecommunityas rapidlyaspossiblewithoutcompromisetoqualityandtoarchivetheseforreference. More information about this series at http://www.springer.com/series/4961 Mahender Singh Yongjin Song (cid:129) (cid:129) Jie Wu Editors Algebraic Topology and Related Topics Editors Mahender Singh YongjinSong Department ofMathematical Sciences Department ofMathematics Indian Institute of Science Education InhaUniversity andResearch (IISER), Mohali Incheon, Korea (Republicof) SASNagar,Punjab, India Jie Wu Department ofMathematics National University ofSingapore Singapore, Singapore ISSN 2297-0215 ISSN 2297-024X (electronic) Trends inMathematics ISBN978-981-13-5741-1 ISBN978-981-13-5742-8 (eBook) https://doi.org/10.1007/978-981-13-5742-8 LibraryofCongressControlNumber:2018965438 ©SpringerNatureSingaporePteLtd.2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisbookispublishedundertheimprintBirkhäuser,www.birkhauser-science.combytheregistered companySpringerNatureSingaporePteLtd. Theregisteredcompanyaddressis:152BeachRoad,#21-01/04GatewayEast,Singapore189721, Singapore Volume Editorial Committee Haibao Duan, Chinese Academy of Sciences, China Nguyen H. V. Hung, Vietnam National University, Vietnam MahenderSingh,IndianInstituteofScienceEducationandResearch,Mohali,India Yongjin Song, Inha University, South Korea Dai Tamaki, Shinshu University, Japan AndreiYu.Vesnin,Sobolev InstituteofMathematicsandTomskState University, Russia Jie Wu, National University of Singapore, Singapore 7th EACAT Scientific Committee Haibao Duan, Chinese Academy of Sciences, China Nguyen H. V. Hung, Vietnam National University, Vietnam MahenderSingh,IndianInstituteofScienceEducationandResearch,Mohali,India Yongjin Song, Inha University, South Korea Dai Tamaki, Shinshu University, Japan Jie Wu, National University of Singapore, Singapore 7th EACAT Organising Committee Madeti Prabhakar, Indian Institute of Technology Ropar, India MahenderSingh,IndianInstituteofScienceEducationandResearch,Mohali,India Jie Wu, National University of Singapore, Singapore v vi VolumeEditorialCommittee Supported By Group photographs of the seventh EACAT held at IISER Mohali VolumeEditorialCommittee vii Preface The broad subject of algebraic topology is very well represented in Asia, and the regionhasmanyrenownedexpertsinhomotopytheory,braidgroups,configuration spaces, toric topology, transformation groups and knot theory. This volume is the proceedings of the seventh East Asian Conference on Algebraic Topology (EACAT) that was held at IISER Mohali during 1–6 December 2017. The first EACAT was held at the Seoul National University (Seoul) in 2007. Beforethen,theannualChina–Japan–KoreaConferencehadbeenheldforacouple ofyears.In2007,thisconferencewasexpandedtotheEastAsianconferencesince topologists from Singapore, Taiwan and Vietnam also started to participate. The second EACAT was held at the National University of Singapore (Singapore) in 2008,thethirdattheVietnamNationalUniversity(Hanoi)in2009,thefourthatthe UniversityofTokyo(Tokyo)in2011,thefifthattheChineseAcademyofSciences (Beijing)in2013,andthesixthattheNationalInstituteforMathematicalSciences (Daejeon) in 2015. Since some Indian topologists had been participating in these conferences, it was decided in Daejeon that the seventh EACAT be held in India. Taking the wonderful opportunity, IISER Mohali and IIT Ropar jointly organised the conference in Mohali during 1–6 December 2017. The seventh EACAT was a success with 31 speakers from eight countries including Belgium, China, India, Japan, Russia, Singapore, South Korea and the USA.Itwasfeltthattheproceedingsofthisconferencewillbeofimmensevalueto the mathematical community. The high-quality research papers and survey articles inthisproceedings coverimportantaspectsofalgebraic topologyanditsadjoining areas. The primary audience of the proceedings will be graduate students and researchers working in the broad area of algebraic topology. ix x Preface Itisapleasuretothanktheconferenceco-organiserMadetiPrabhakarforallhis support. The event would not have been possible without his help. Finally, we thankthestudentvolunteersAnjani,Mahinshi,Manpreet,NehaandPoojafortheir valuable help in various aspects of the event. We eagerly look forward to the next edition of EACAT. Mohali, India Mahender Singh Incheon, Korea (Republic of) Yongjin Song Singapore Jie Wu December 2018
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