期刊文献+

The Noncommutative Residue about Witten Deformation

The Noncommutative Residue about Witten Deformation
原文传递
导出
摘要 In this paper, we compute lower dimensional volumes Vol_4^((1,1)) and Vol_6^((2,2)) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds with boundary by these noncommutative residues. In this paper, we compute lower dimensional volumes Vol_4^((1,1)) and Vol_6^((2,2)) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds with boundary by these noncommutative residues.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2019年第4期550-568,共19页 数学学报(英文版)
基金 Science Foundation for(Grant No.BS423) Inner Mongolia Natural Science Foundation for(Grant No.2018LHO1004)
关键词 Lower-dimensional VOLUMES NONCOMMUTATIVE RESIDUE GRAVITATIONAL action WITTEN DEFORMATION Lower-dimensional volumes noncommutative residue gravitational action Witten deformation
  • 相关文献

参考文献1

二级参考文献17

  • 1V.W. Guillemin, Adv. Math. 55 (1985) 131. 被引量:1
  • 2M. Wodzicki, Invent. Math. 75 (1984) 143. 被引量:1
  • 3A. Connes, Quantized Calculus and Applications, XI-th International Congress of Mathematical Physics, Paris (1994) pp. 15-36; Internat Press, Cambridge, MA (1995). 被引量:1
  • 4A. Connes, Comm. Math. Phys. 117 (1998) 673. 被引量:1
  • 5D. Kastler, Commun. Math. Phys. 166 (1995) 633. 被引量:1
  • 6W. Kalau and M. Walze, J. Geom. Phys. 16 (1995) 327. 被引量:1
  • 7T. Ackermann, J. Geom. Phys. 20 (1996) 404. 被引量:1
  • 8B.V. Fedosov, F. Golse, E. Leichtnam, and E. Schrohe, J Funct. Anal. 142 (1996) 1. 被引量:1
  • 9Y. Wang, J. Geom. Phys. 56 (2006) 731. 被引量:1
  • 10Y. Wang, Lett. Math. Phys. 77 (2006) 41. 被引量:1

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部