Recent Publications and Preprints

• On the relative Lusternik-Schnirelmann category with respect to a closed 1-form, with Tieqiang Li, preprint. pdf
• The isomorphism problem for planar polygon spaces, preprint. pdf
• On the cohomology ring of chains in R^d, with M. Farber and J.-Cl. Hausmann, preprint. pdf
• Closed 1-forms in topology and geometric group theory, with M. Farber and R. Geoghegan, preprint. pdf

• Novikov homology of HNN-extensions and right-angled Artin groups, Algebr. Geom. Topol. 9 (2009), 773-809. The original publication is available here. pdf
• On the conjecture of Kevin Walker, with M. Farber and J.-Cl. Hausmann, J. of Topology and Analysis 1 (2009), 65-86. The original publication is available here. pdf © 2009 World Scientific Publishing Company.
• Closed 1-forms in topology and dynamics, with M. Farber, Uspekhi Mat. Nauk 63:6 (2008), 91-156; translation in Russian Math. Surveys 63 (2008) 1079-1136. The original publication is available here. pdf
• On the direct product conjecture for sigma invariants, Bull. Lond. Math. Soc. 40 (2008), 675-684. The original publication is available here. pdf
• Homological category weights and estimates for cat¹(X,ξ), with M. Farber, J. Eur. Math. Soc. 10 (2008), 243-266. The original publication is available here. pdf
• Homology of planar polygon spaces, with M. Farber, Geom. Dedicata 125 (2007), 75-92. The original publication is available at www.springerlink.com. pdf
• Cohomological estimates for cat(X,ξ), with M. Farber, Geom. Topol. 11 (2007), 1255-1288. The original publication is available here. pdf
• On the Whitehead group of Novikov rings associated to irrational homomorphisms, J. Pure Appl. Algebra 208 (2007) 449-466. The original publication is available here. pdf
• Moving homology classes to infinity, with M. Farber, Forum Math. 19 (2007), 281-296. The original publication is available here. pdf