典型文献
MOTIVIC VIRTUAL SIGNED EULER CHARACTERISTICS AND THEIR APPLICATIONS TO VAFA-WITTEN INVARIANTS
文献摘要：
For any scheme M with a perfect obstruction theory,Jiang and Thomas associ-ated a scheme N with a symmetric perfect obstruction theory.The scheme N is a cone over M given by the dual of the obstruction sheaf of M,and contains M as its zero section.Lo-cally,N is the critical locus of a regular function.In this note we prove that N is a d-critical scheme in the sense of Joyce.There exists a global motive for N locally given by the motive of the vanishing cycle of the local regular function.We prove a motivic localization formula under the good and circle compact C*-action for N.When taking the Euler characteristic,the weighted Euler characteristic of N weighted by the Behrend function is the signed Euler characteristic of M by motivic method.As applications,using the main theorem we study the motivic generating series of the motivic Vafa-Witten invariants for K3 surfaces.
文献关键词：
中图分类号：
作者姓名：
Yunfeng JIANG
作者机构：
College of Mathematics and Statistics,Shenzhen University,Shenzhen 518060,China Department of Mathematics,University of Kansas,KS 66045,USA
文献出处：
引用格式：
[1]Yunfeng JIANG-.MOTIVIC VIRTUAL SIGNED EULER CHARACTERISTICS AND THEIR APPLICATIONS TO VAFA-WITTEN INVARIANTS)[J].数学物理学报（英文版）,2022(06):2279-2300
A类：
MOTIVIC,VIRTUAL,SIGNED,EULER,CHARACTERISTICS,THEIR,VAFA,WITTEN,INVARIANTS,sheaf,motivic,Behrend,Vafa
B类：
AND,APPLICATIONS,TO,For,any,scheme,perfect,obstruction,theory,Jiang,Thomas,associ,ated,symmetric,cone,over,given,by,dual,contains,its,zero,section,Lo,critical,locus,regular,function,In,this,note,prove,that,sense,Joyce,There,exists,global,motive,locally,vanishing,cycle,We,localization,formula,under,good,circle,compact,action,When,taking,Euler,characteristic,weighted,signed,method,applications,using,main,theorem,study,generating,series,Witten,invariants,K3,surfaces
AB值：
0.484554
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