Skip to main content

Intersection Spaces

  • 1326 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1997)

Abstract

For a given pseudomanifold, the homology of its intersection space is not isomorphic to its intersection homology, but the two sets of groups are closely related. The reflective diagrams to be introduced in this section will be used to display the precise relationship between the two theories in the isolated singularities case. This reflective nature of the relationship correlates with the fact that the two theories form a mirror-pair for singular Calabi–Yau conifolds, see Section 3.8. Let R be a ring. If M is an R-module, we will write M* for the dual Hom(M,R). Let k be an integer.

Keywords

  • Exact Sequence
  • Vector Bundle
  • Intersection Space
  • Homology Class
  • Homotopy Type

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Markus Banagl .

Rights and permissions

Reprints and Permissions

Copyright information

© 2010 Springer Berlin Heidelberg

About this chapter

Cite this chapter

Banagl, M. (2010). Intersection Spaces. In: Intersection Spaces, Spatial Homology Truncation, and String Theory. Lecture Notes in Mathematics(), vol 1997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12589-8_2

Download citation