scholarly journals Resolvent trace asymptotics on stratified spaces

2021 ◽  
Vol 3 (1) ◽  
pp. 75-108
Author(s):  
Luiz Hartmann ◽  
Matthias Lesch ◽  
Boris Vertman
Keyword(s):  
2007 ◽  
Vol 131 (5) ◽  
pp. 422-456
Author(s):  
Vincenzo Ancona ◽  
Bernard Gaveau ◽  
Masami Okada

2017 ◽  
Vol 108 (3) ◽  
pp. 805-859 ◽  
Author(s):  
Marius Crainic ◽  
João Nuno Mestre
Keyword(s):  

2006 ◽  
Vol 58 (1) ◽  
pp. 51-75 ◽  
Author(s):  
Juan-Pablo Ortega ◽  
Tudor S. Ratiu

2018 ◽  
Vol 8 (4) ◽  
pp. 1295-1348
Author(s):  
Luiz Hartmann ◽  
Matthias Lesch ◽  
Boris Vertman

2014 ◽  
Vol 07 (01) ◽  
pp. 105-133 ◽  
Author(s):  
Pierre Albin ◽  
Markus Banagl ◽  
Eric Leichtnam ◽  
Rafe Mazzeo ◽  
Paolo Piazza

We investigate a generalization to non-Witt stratified spaces of the intersection homology theory of Goresky–MacPherson. The second-named author has described the self-dual sheaves compatible with intersection homology, and the other authors have described a generalization of Cheeger's L2 de Rham cohomology. In this paper we first extend both of these cohomology theories by describing all sheaf complexes in the derived category of constructible sheaves that are compatible with middle perversity intersection cohomology, though not necessarily self-dual. Our main result is that this refined intersection cohomology theory coincides with the analytic de Rham theory on Thom–Mather stratified spaces. The word "refined" is motivated by the fact that the definition of this cohomology theory depends on the choice of an additional structure (mezzo-perversity) which is automatically zero in the case of a Witt space.


Author(s):  
Mailan S. Doquang

This ambitious book offers new perspectives on the role of vegetal ornament in medieval church design. Focusing on an extensive series of foliate friezes articulating iconic French monuments, such as Cluny III, Amiens Cathedral, and Mont-Saint-Michel, it demonstrates that church builders strategically used organic motifs to integrate the interior and exterior of their structures, and to reinforce the connections and distinctions between the entirety of the sacred edifice and the profane world beyond its boundaries. Mailan S. Doquang shows that, contrary to widespread belief, monumental flora was not just an extravagant embellishment devoid of meaning and purpose, or an epiphenomenon, but a semantically charged, critical design component that inflected the stratified spaces of churches in myriad ways. The friezes encapsulated and promoted core aspects of the Christian faith for medieval beholders, evoking the viridity of the paradisiacal garden, Christ as the True Vine, the Eucharistic wine and ritual, and the golden vine of the Temple of Jerusalem, originally built by the wise King Solomon. By situating the proliferation of foliate friezes within the context of the Crusades, moreover, this study provides new insights into the networks of exchange between France, Byzantium, and the Levant, and contributes substantially to the “global turn” in the field of medieval art and architectural history.


1976 ◽  
Vol 32 (2) ◽  
pp. 179-204 ◽  
Author(s):  
Douglas R. Anderson ◽  
Wu-chung Hsiang
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document