Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Pascal Lambrechts"'
Publikováno v:
Canadian Journal of Mathematics, Vol. 70, no.2, p. 265-293 (2018)
Let W be a compact simply connected triangulated manifold with boundary and $K \subset W$ be a subpolyhedron. We construct an algebraic model of the rational homotopy type of the complement $W \setminus K$ out of a model of the map of pairs $(K, K \c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0483ddd47c263f3d9a9dee937fedd7f3
https://doi.org/10.4153/cjm-2017-021-3
https://doi.org/10.4153/cjm-2017-021-3
Publikováno v:
Chinese Annals of Mathematics, Series B. 38:1269-1274
A theorem of Lambrechts and Stanley is used to find the rational cohomology of the complement of an embedding S4n−1 → S2n ×S m as a module and demonstrate that it is not necessarily determined by the map induced on cohomology by the embedding, n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ab299948c01283e0b4c888ca6f73400
https://doi.org/10.1007/s11401-017-1035-3
https://doi.org/10.1007/s11401-017-1035-3
Publikováno v:
Algebr. Geom. Topol. 19, no. 1 (2019), 1-30
We prove that a large class of Poincar\'e duality pairs admit rational models (in the sense of Sullivan) of a particularly nice form associated to some Poincar\'e duality CDGA. These models have applications in particular to the construction of ratio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6e36d26a3d5e19594e6aee98bf01930
https://projecteuclid.org/euclid.agt/1549940428
https://projecteuclid.org/euclid.agt/1549940428
This volume contains the proceedings of the conference on Manifolds, $K$-Theory, and Related Topics, held from June 23–27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advan
Publikováno v:
Contemporary Mathematics ISBN: 9781470417000
Manifolds and 𝐾-Theory
Manifolds and 𝐾-Theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1e12df9c3f04f1051c5e2f0b63a7078
https://doi.org/10.1090/conm/682
https://doi.org/10.1090/conm/682
Publikováno v:
Geom. Topol. 14, no. 4 (2010), 2151-2187
We determine the rational homology of the space of long knots in R^d for $d\geq4$. Our main result is that the Vassiliev spectral sequence computing this rational homology collapses at the E^1 page. As a corollary we get that the homology of long kno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::107ae5f369fba6048cb54b0bfe8748ea
https://doi.org/10.2140/gt.2010.14.2151
https://doi.org/10.2140/gt.2010.14.2151
Autor:
Victor Turchin, Pascal Lambrechts
Publikováno v:
Transactions of the American Mathematical Society. 361:207-222
We prove that the primitive part of the Sinha homology spectral sequence E2-term for the space of long knots is rationally isomorphic to the homotopy epsilon 2-term. We also define natural graph-complexes computing the rational homotopy of configurat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b09a3fe11a3e45aec7dcd48e51363fbc
https://doi.org/10.1090/s0002-9947-08-04650-3
https://doi.org/10.1090/s0002-9947-08-04650-3
Autor:
Pascal Lambrechts, Donald Stanley
Publikováno v:
Geom. Topol. 12, no. 4 (2008), 1921-1993
Suppose f: V -> W is an embedding of closed oriented manifolds whose normal bundle has the structure of a complex vector bundle. It is well known in both complex and symplectic geometry that one can then construct a manifold (W) over tilde which is t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd737a45c2928c594bfe692f4bbcf8f2
https://doi.org/10.2140/gt.2008.12.1921
https://doi.org/10.2140/gt.2008.12.1921
Autor:
Pascal Lambrechts, Ismar Volić
The little $N$-disks operad, $\mathcal B$, along with its variants, is an important tool in homotopy theory. It is defined in terms of configurations of disjoint $N$-dimensional disks inside the standard unit disk in $\mathbb{R}^N$ and it was initial
Publikováno v:
Mathematical Research Letters. 15:1-15
We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in R-d for d >= 4 collapses at the E 2 page. The main ingredients in the proof are Sinha's cosimplicial model for the space of lon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75c6a747250dfbd3451dde9ab4774ca2
https://doi.org/10.4310/mrl.2008.v15.n1.a1
https://doi.org/10.4310/mrl.2008.v15.n1.a1