On the rational homotopy type of intersection spaces
Banagl's method of intersection spaces allows modification of certain types of stratified pseudomanifolds near the singular set in such a way that the rational Betti numbers of the modified spaces satisfy generalized Poincaré duality in analogy with Goresky-MacPherson's intersection homol...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2020
|
| In: |
Journal of Singularities
Year: 2020, Jahrgang: 20, Pages: 251-273 |
| ISSN: | 1949-2006 |
| DOI: | 10.5427/jsing.2020.20k |
| Online-Zugang: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.5427/jsing.2020.20k Verlag, lizenzpflichtig, Volltext: http://www.journalofsing.org/volume20/article11.html Verlag, lizenzpflichtig, Volltext: http://www.centerofmath.org/journalofsing/volume20/article11.html 
|
| Verfasserangaben: | Dominik Wrazidlo |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1761088815 | ||
| 003 | DE-627 | ||
| 005 | 20220820001210.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 210623s2020 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.5427/jsing.2020.20k |2 doi | |
| 035 | |a (DE-627)1761088815 | ||
| 035 | |a (DE-599)KXP1761088815 | ||
| 035 | |a (OCoLC)1341416940 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Wrazidlo, Dominik |e VerfasserIn |0 (DE-588)1140508032 |0 (DE-627)898523915 |0 (DE-576)493838635 |4 aut | |
| 245 | 1 | 0 | |a On the rational homotopy type of intersection spaces |c Dominik Wrazidlo |
| 264 | 1 | |c 2020 | |
| 300 | |a 23 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 23.06.2021 | ||
| 520 | |a Banagl's method of intersection spaces allows modification of certain types of stratified pseudomanifolds near the singular set in such a way that the rational Betti numbers of the modified spaces satisfy generalized Poincaré duality in analogy with Goresky-MacPherson's intersection homology. In the case of one isolated singularity, we show that the duality isomorphism comes from a nondegenerate intersection pairing which depends on the choice of a chain representative of the fundamental class of the regular stratum. On the technical side, we use piecewise linear polynomial differential forms due to Sullivan to define a suitable commutative cochain algebra model for intersection spaces. We show that the weak equivalence class of our model does not depend on choices, which implies uniqueness of the rational intersection space cohomology ring. Our construction parallels Banagl's commutative cochain algebra of smooth differential forms modeling intersection space cohomology, and we show that both algebras are weakly equivalent. | ||
| 773 | 0 | 8 | |i Enthalten in |t Journal of Singularities |d Cambridge, Mass. : Worldwide Center of Mathematics, 2010 |g 20(2020), Seite 251-273 |h Online-Ressource |w (DE-627)624827550 |w (DE-600)2550603-1 |w (DE-576)322444004 |x 1949-2006 |7 nnas |a On the rational homotopy type of intersection spaces |
| 773 | 1 | 8 | |g volume:20 |g year:2020 |g pages:251-273 |g extent:23 |a On the rational homotopy type of intersection spaces |
| 856 | 4 | 0 | |u https://doi.org/10.5427/jsing.2020.20k |x Resolving-System |x Verlag |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u http://www.journalofsing.org/volume20/article11.html |x Verlag |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u http://www.centerofmath.org/journalofsing/volume20/article11.html |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20210623 | ||
| 993 | |a Article | ||
| 994 | |a 2020 | ||
| 998 | |g 1140508032 |a Wrazidlo, Dominik |m 1140508032:Wrazidlo, Dominik |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1761088815 |e 3940884731 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Wrazidlo, Dominik","given":"Dominik","family":"Wrazidlo"}],"title":[{"title":"On the rational homotopy type of intersection spaces","title_sort":"On the rational homotopy type of intersection spaces"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 23.06.2021"],"recId":"1761088815","language":["eng"],"name":{"displayForm":["Dominik Wrazidlo"]},"origin":[{"dateIssuedDisp":"2020","dateIssuedKey":"2020"}],"id":{"eki":["1761088815"],"doi":["10.5427/jsing.2020.20k"]},"physDesc":[{"extent":"23 S."}],"relHost":[{"title":[{"title":"Journal of Singularities","title_sort":"Journal of Singularities"}],"pubHistory":["1.2010 -"],"part":{"extent":"23","volume":"20","text":"20(2020), Seite 251-273","pages":"251-273","year":"2020"},"disp":"On the rational homotopy type of intersection spacesJournal of Singularities","note":["Gesehen am 23.04.10"],"type":{"bibl":"periodical","media":"Online-Ressource"},"language":["eng"],"recId":"624827550","origin":[{"publisherPlace":"Cambridge, Mass.","dateIssuedDisp":"2010-","dateIssuedKey":"2010","publisher":"Worldwide Center of Mathematics"}],"id":{"eki":["624827550"],"zdb":["2550603-1"],"issn":["1949-2006"]},"physDesc":[{"extent":"Online-Ressource"}]}]} | ||
| SRT | |a WRAZIDLODOONTHERATIO2020 | ||