Lagrangian Intersection Floer Theory

Released on by Kenji Fukaya
preview-18

  • Lagrangian Intersection Floer Theory Book Detail

  • Author : Kenji Fukaya
  • Release Date : 2010-06-21
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 426
  • ISBN 13 : 0821852507
  • File Size : 75,75 MB
DOWNLOAD BOOK

Lagrangian Intersection Floer Theory by Kenji Fukaya PDF Summary

Book Description: This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.

Disclaimer: www.yourbookbest.com does not own Lagrangian Intersection Floer Theory books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Lagrangian Intersection Floer Theory

Lagrangian Intersection Floer Theory

File Size : 23,23 MB
Total View : 749 Views
DOWNLOAD

This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebra

Combinatorial Floer Homology

Combinatorial Floer Homology

File Size : 56,56 MB
Total View : 4715 Views
DOWNLOAD

The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, pr