Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

논문

tab menu

  • View
  • All
  • 수학부
  • 물리학부
  • 계산과학부
  • Center for Advanced Computation

Seminar View

Seminar
TITLE The bipolar filtration of topologically slice knots
KIAS AUTHORS Cha, Jae Choon
JOURNAL ADVANCES IN MATHEMATICS, 2021
ARCHIVE arXiv:1710.07803
ABSTRACT The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper structures in the smooth concordance group of topologically slice knots. We show that the graded quotient of the bipolar filtration of topologically slice knots has infinite rank at each stage greater than one. To detect nontrivial elements in the quotient, the proof simultaneously uses higher order amenable Cheeger-Gromov L-2 rho-invariants and infinitely many Heegaard Floer correction term d-invariants. (C) 2021 Elsevier Inc. All rights reserved.
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~