Change search

Cite
Citation style
• apa
• harvard1
• ieee
• modern-language-association-8th-edition
• vancouver
• Other style
More styles
Language
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Other locale
More languages
Output format
• html
• text
• asciidoc
• rtf
Inversion of series and the cohomology of the moduli spaces $\scr M\sb 0,n\sp δ$
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
CNRS.
2010 (English)In: Motives, quantum field theory, and pseudodifferential operators, American Mathematical Society (AMS), 2010, Vol. 12, p. 119-126Chapter in book (Other academic)
##### Abstract [en]

For $n\geq 3$, let $\mathcal{M}_{0,n}$ denote the moduli space of genus 0 curves with $n$ marked points, and $\overline{\mathcal{M}}_{0,n}$ its smooth compactification. A theorem due to Ginzburg, Kapranov and Getzler states that the inverse of the exponential generating series for the Poincar\'e polynomial of $H^{\bullet}(\mathcal{M}_{0,n})$ is given by the corresponding series for $H^{\bullet}(\overline{\mathcal{M}}_{0,n})$. In this paper, we prove that the inverse of the ordinary generating series for the Poincar\'e polynomial of $H^{\bullet}(\mathcal{M}_{0,n})$ is given by the corresponding series for $H^{\bullet}(\mathcal{M}^{\delta}_{0,n})$, where $\mathcal{M}_{0,n}\subset \mathcal{M}^{\delta}_{0,n} \subset \overline{\mathcal{M}}_{0,n}$ is a certain smooth affine scheme.

##### Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2010. Vol. 12, p. 119-126
##### Series
Motives, quantum field theory, and pseudodifferential operators
Geometry
##### Identifiers
OAI: oai:DiVA.org:kth-48390DiVA, id: diva2:463655
##### Note
QS 2011Available from: 2011-12-10 Created: 2011-11-17 Last updated: 2012-01-18Bibliographically approved

#### Open Access in DiVA

No full text in DiVA

arXiv

#### Search in DiVA

Bergström, Jonas
##### By organisation
Mathematics (Div.)
Geometry

urn-nbn

#### Altmetric score

urn-nbn
Total: 64 hits

Cite
Citation style
• apa
• harvard1
• ieee
• modern-language-association-8th-edition
• vancouver
• Other style
More styles
Language
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Other locale
More languages
Output format
• html
• text
• asciidoc
• rtf
v. 2.34.0
| | | |