scholarly journals A relative version of the finiteness obstruction theory of C. T. C. Wall

2009 ◽  
Vol 11 (2) ◽  
pp. 381-404
Author(s):  
Anna Davis
Keyword(s):  
Obstruction Theory ◽  
Relative Version

Relative version of star-Hurewicz property

2021 ◽  
Author(s):  
M. Bhardwaj ◽  
S. Singh ◽  
B. K. Tyagi
Keyword(s):  
Relative Version ◽  
Hurewicz Property

scholarly journals The integral cohomology of the Hilbert scheme of points on a surface

2020 ◽  
Vol 8 ◽  
Author(s):  
Burt Totaro
Keyword(s):  
Natural Number ◽  
Hilbert Scheme ◽  
Obstruction Theory ◽  
Projective Surface ◽  
Hilbert Schemes ◽  
Complex Projective Surface ◽  
Smooth Complex ◽  
Hilbert Scheme Of Points ◽  
Complex Projective ◽  
Torsion Free

Abstract We show that if X is a smooth complex projective surface with torsion-free cohomology, then the Hilbert scheme $X^{[n]}$ has torsion-free cohomology for every natural number n. This extends earlier work by Markman on the case of Poisson surfaces. The proof uses Gholampour-Thomas’s reduced obstruction theory for nested Hilbert schemes of surfaces.

scholarly journals Donaldson–Thomas invariants versus intersection cohomology of quiver moduli

2019 ◽  
Vol 2019 (754) ◽  
pp. 143-178 ◽  
Author(s):  
Sven Meinhardt ◽  
Markus Reineke
Keyword(s):  
Moduli Space ◽  
Stability Condition ◽  
Intersection Cohomology ◽  
Quiver Representations ◽  
Compactly Supported ◽  
Generic Stability ◽  
Relative Version ◽  
Zero Potential ◽  
Stable Locus

Abstract The main result of this paper is the statement that the Hodge theoretic Donaldson–Thomas invariant for a quiver with zero potential and a generic stability condition agrees with the compactly supported intersection cohomology of the closure of the stable locus inside the associated coarse moduli space of semistable quiver representations. In fact, we prove an even stronger result relating the Donaldson–Thomas “function” to the intersection complex. The proof of our main result relies on a relative version of the integrality conjecture in Donaldson–Thomas theory. This will be the topic of the second part of the paper, where the relative integrality conjecture will be proven in the motivic context.

scholarly journals Obstruction theory on 8-manifolds

2008 ◽  
Vol 127 (2) ◽  
pp. 167-186 ◽  
Author(s):  
Martin Čadek ◽  
Michael Crabb ◽  
Jiří Vanžura
Keyword(s):  
Obstruction Theory

scholarly journals Relative version of Weyl-Kac character formula

1990 ◽  
Vol 130 (1) ◽  
pp. 191-197
Author(s):  
Jong-Min Ku
Keyword(s):  
Character Formula ◽  
Relative Version

scholarly journals Obstruction theory in model categories

2004 ◽  
Vol 181 (2) ◽  
pp. 396-416 ◽  
Author(s):  
J.Daniel Christensen ◽  
William G. Dwyer ◽  
Daniel C. Isaksen
Keyword(s):  
Obstruction Theory ◽  
Model Categories
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