Novikov homology of HNN-extensions and right-angled Artin groups
(2009)
Journal Article
Schuetz, D. (2009). Novikov homology of HNN-extensions and right-angled Artin groups. Algebraic & geometric topology, 9(2), 773-809. https://doi.org/10.2140/agt.2009.9.773
All Outputs (39)
Closed 1-forms in topology and dynamics (2008)
Journal Article
Farber, M., & Schuetz, D. (2008). Closed 1-forms in topology and dynamics. Russian Mathematical Surveys, 63(6), 1079-1136. https://doi.org/10.1070/rm2008v063n06abeh004579
On the direct product conjecture for sigma invariants (2008)
Journal Article
Schuetz, D. (2008). On the direct product conjecture for sigma invariants. Bulletin of the London Mathematical Society, 40(4), 675-684. https://doi.org/10.1112/blms/bdn048
Homological category weights and estimates for cat^1(X,ξ) (2008)
Journal Article
Farber, M., & Schuetz, D. (2008). Homological category weights and estimates for cat^1(X,ξ). Journal of the European Mathematical Society, 10(1), 243-266. https://doi.org/10.4171/jems/110
Homology of planar polygon spaces. (2007)
Journal Article
Farber, M., & Schuetz, D. (2007). Homology of planar polygon spaces. Geometriae Dedicata, 25, 75-92. https://doi.org/10.1007/s10711-007-9139-7
Moving homology classes to infinity. (2007)
Journal Article
Farber, M., & Schuetz, D. (2007). Moving homology classes to infinity. Forum Mathematicum, 19, 281-296. https://doi.org/10.1515/forum.2007.010
On the Whitehead group of Novikov rings associated to irrational homomorphisms. (2007)
Journal Article
Schuetz, D. (2007). On the Whitehead group of Novikov rings associated to irrational homomorphisms. Journal of Pure and Applied Algebra, 208(2), 449-466. https://doi.org/10.1016/j.jpaa.2006.01.005
Cohomological estimates for cat(X,xi) (2007)
Journal Article
Farber, M., & Schuetz, D. (2007). Cohomological estimates for cat(X,xi). Geometry & Topology, 11(1), 1255-1288. https://doi.org/10.2140/gt.2007.11.1255This paper studies the homotopy invariant cat(X,ξ) introduced in [1: Michael Farber, `Zeros of closed 1-forms, homoclinic orbits and Lusternik–Schnirelman theory', Topol. Methods Nonlinear Anal. 19 (2002) 123–152]. Given a finite cell-complex X, we s... Read More about Cohomological estimates for cat(X,xi).
Novikov-Betti numbers and the fundamental group (2006)
Journal Article
Farber, M., & Schuetz, D. (2006). Novikov-Betti numbers and the fundamental group. Russian Mathematical Surveys, 61(6), 1173-1175. https://doi.org/10.1070/rm2006v061n06abeh004378
Closed 1-forms with at most one zero (2006)
Journal Article
Farber, M., & Schutz, D. (2006). Closed 1-forms with at most one zero. Topology (Oxford), 45(3), 465-473. https://doi.org/10.1016/j.top.2005.06.006We prove that in any nonzero cohomology class ξH1(M;R) there always exists a closed 1-form having at most one zero.
Finite domination, Novikov homology and nonsingular closed 1-forms (2006)
Journal Article
Schuetz, D. (2006). Finite domination, Novikov homology and nonsingular closed 1-forms. Mathematische Zeitschrift, 252(3), 623-654. https://doi.org/10.1007/s00209-005-0868-8
On the algebraic K- and L-theory of word hyperbolic groups (2005)
Journal Article
Rosenthal, D., & Schuetz, D. (2005). On the algebraic K- and L-theory of word hyperbolic groups. Mathematische Annalen, 332(3), 523-532. https://doi.org/10.1007/s00208-005-0634-6In this paper, the assembly maps in algebraic K- and L-theory for the family of finite subgroups are proven to be split injections for word hyperbolic groups. This is done by analyzing the compactification of the Rips complex by the boundary of a wor... Read More about On the algebraic K- and L-theory of word hyperbolic groups.
Zeta functions for gradients of closed 1-forms (2004)
Journal Article
Schuetz, D. (2004). Zeta functions for gradients of closed 1-forms. Topology and its Applications, 144(1-3), 147-160. https://doi.org/10.1016/j.topol.2004.04.005
On the Lusternik-Schnirelman theory of a real cohomology class. (2004)
Journal Article
Schuetz, D. (2004). On the Lusternik-Schnirelman theory of a real cohomology class. manuscripta mathematica, 113(1), 85-106. https://doi.org/10.1007/s00229-003-0423-z
Geometric chain homotopy equivalences between Novikov complexes (2003)
Book Chapter
Schuetz, D. (2003). Geometric chain homotopy equivalences between Novikov complexes. In F. Farrell, & W. Lück (Eds.), High-dimensional manifold topology (469-498). World Scientific Publishing
Gradient flows of closed 1-forms and their closed orbits (2002)
Journal Article
Schuetz, D. (2002). Gradient flows of closed 1-forms and their closed orbits. Forum Mathematicum, 14(4), 509-537. https://doi.org/10.1515/form.2002.024
Controlled connectivity of closed 1-forms (2002)
Journal Article
Schuetz, D. (2002). Controlled connectivity of closed 1-forms. Algebraic & geometric topology, 2, 171-217. https://doi.org/10.2140/agt.2002.2.171
One-parameter fixed-point theory and gradient flows of closed 1-forms (2002)
Journal Article
Schuetz, D. (2002). One-parameter fixed-point theory and gradient flows of closed 1-forms. K-Theory, 25(1), 59-97. https://doi.org/10.1023/a%3A1015079805400We use the one-parameter fixed-point theory of Geoghegan and Nicas to get information about the closed orbit structure of transverse gradient flows of closed 1-forms on a closed manifold M. We define a noncommutative zeta function in an object relate... Read More about One-parameter fixed-point theory and gradient flows of closed 1-forms.
Obstructions to homotopy invariance in parametrized fixed point theory (2000)
Book Chapter
Geoghegan, R., Nicas, A., & Schuetz, D. (2000). Obstructions to homotopy invariance in parametrized fixed point theory. In K. Grove, I. Madsen, & E. Pedersen (Eds.), Geometry and topology: Aarhus (1998) (157-175). American Mathematical Society