scholarly journals Remarks on generic stability in independent theories

2020 ◽  
Vol 171 (2) ◽  
pp. 102736
Author(s):  
Gabriel Conant ◽  
Kyle Gannon
Keyword(s):  
Generic Stability

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 GENERIC STABILITY AND STABILITY

2014 ◽  
Vol 79 (01) ◽  
pp. 179-185 ◽  
Author(s):  
HANS ADLER ◽  
ENRIQUE CASANOVAS ◽  
ANAND PILLAY
Keyword(s):  
Full Generality ◽  
Generic Stability ◽  
Special Cases

AbstractWe prove two results about generically stable typespin arbitrary theories. The first, on existence of strong germs, generalizes results from [2] on stably dominated types. The second is an equivalence of forking and dividing, assuming generic stability ofp(m)for allm. We use the latter result to answer in full generality a question posed by Hasson and Onshuus: IfP(x) εS(B) is stable and does not fork overAthenprestrictionAis stable. (They had solved some special cases.)

Generic stability models for type 3 & 4 wind turbine generators for WECC

2013 ◽  
Author(s):  
P. Pourbeik ◽  
A. Ellis ◽  
J. Sanchez-Gasca ◽  
Y. Kazachkov ◽  
E. Muljadi ◽  
...  
Keyword(s):  
Wind Turbine ◽  
Generic Stability ◽  
Turbine Generators ◽  
Wind Turbine Generators ◽  
Type 3

scholarly journals GENERICALLY STABLE REGULAR TYPES

2015 ◽  
Vol 80 (1) ◽  
pp. 308-321 ◽  
Author(s):  
PREDRAG TANOVIĆ
Keyword(s):  
Equivalence Relation ◽  
Generic Stability ◽  
Strongly Regular

AbstractWe study nonorthogonality of symmetric, regular types and show that it preserves generic stability and is an equivalence relation on the set of all generically stable, regular types. We prove that some of the nice properties from the stable context hold in general. In the case of strongly regular types we will relate to the global Rudin–Keisler order.

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