# User contributions

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- 11:12, 26 August 2013 (diff | hist) Bonn THDM 2013: Program (→The isomorphism conjectures)
- 10:57, 26 August 2013 (diff | hist) Bonn THDM 2013: Program (→Introduction)
- 09:39, 26 August 2013 (diff | hist) Bonn THDM 2013: Program (→Algebraic L-theory)
- 22:40, 25 August 2013 (diff | hist) Bonn THDM 2013: Program (→Algebraic L-theory)
- 15:08, 25 August 2013 (diff | hist) Bonn THDM 2013: Program (→Algebraic L-theory)
- 15:06, 25 August 2013 (diff | hist) Bonn THDM 2013: Program (→Signatures)
- 15:04, 25 August 2013 (diff | hist) Bonn THDM 2013: Program (→L-groups via chain complexes)
- 15:03, 25 August 2013 (diff | hist) N Formations and chain complexes I (Ex) (Created page with "<wikitex>; Show that $1$-dimensional symmetric algebraic Poincare complexes correspond to non-degenerate symmetric formations. See section 2 of {{cite|Ranicki1980}} </wikitex...") (top)
- 12:50, 25 August 2013 (diff | hist) Bonn THDM 2013: Program (→Signatures)
- 12:49, 25 August 2013 (diff | hist) Suspension of a symmetric complex (Ex) (top)
- 12:48, 25 August 2013 (diff | hist) Suspension of a symmetric complex (Ex)
- 12:47, 25 August 2013 (diff | hist) N Suspension of a symmetric complex (Ex) (Created page with "<wikitex>; Using the definition and the $\omega$ from Exercise 4 show that $$ S(\varphi)_0 = 0 $$ and $$ S(\varphi_{s+1}) = \pm \varphi_s $$ </wikitex> == References == {{#Ref...")
- 12:20, 25 August 2013 (diff | hist) Bonn THDM 2013: Program (→L-groups via chain complexes)
- 12:19, 25 August 2013 (diff | hist) N Structured chain complexes V (Ex) (Created page with "<wikitex>; Let $f \colon C \rightarrow D$ and $g \colon D \rightarrow E$ be chain maps and let $j \colon gf \simeq 0 \colon C \rightarrow E$ be a chain homotopy from~$gf$ to~$...") (top)
- 12:34, 23 August 2013 (diff | hist) N Structured chain complexes V (Created page with "<wikitex>; Let $f \colon C \rightarrow D$ and $g \colon D \rightarrow E$ be chain maps and let $j \colon gf \simeq 0 \colon C \rightarrow E$ be a chain homotopy from~$gf$ to~$...") (top)
- 12:29, 23 August 2013 (diff | hist) Structured chain complexes IV (Ex) (top)
- 15:37, 8 March 2013 (diff | hist) Fake lens spaces
- 19:28, 12 February 2013 (diff | hist) Fake lens spaces (→Homeomorphism classification)
- 11:46, 8 February 2013 (diff | hist) Fake lens spaces (→Homeomorphism classification)
- 11:29, 8 February 2013 (diff | hist) Fake lens spaces
- 11:29, 8 February 2013 (diff | hist) Lens spaces
- 11:41, 4 January 2013 (diff | hist) Fake lens spaces
- 11:40, 4 January 2013 (diff | hist) Fake lens spaces
- 11:38, 4 January 2013 (diff | hist) Fake lens spaces
- 10:28, 7 June 2012 (diff | hist) Oberwolfach Surgery Seminar 2012: Discussion
- 11:46, 30 May 2012 (diff | hist) Oberwolfach Surgery Seminar 2012: Exercises (→Talks 8-10)
- 11:45, 30 May 2012 (diff | hist) Oberwolfach Surgery Seminar 2012: Exercises
- 11:43, 30 May 2012 (diff | hist) N Forms and chain complexes II (Ex) (Created page with "<wikitex>; Show that the boundary of a well-connected $1$-dimensional symmetric/quadratic complex gives a hyperbolic form. See section 2 of {{cite|Ranicki1980}} </wikitex> ==...")
- 11:42, 30 May 2012 (diff | hist) Formations and chain complexes II (Ex)
- 11:42, 30 May 2012 (diff | hist) Forms and chain complexes I (Ex) (top)
- 11:41, 30 May 2012 (diff | hist) N Formations and chain complexes II (Ex) (Created page with "<wikitex>; Show that a boundary of a well-connected $2$-dimensional symmetric/quadratic complex gives a boundary formation. </wikitex> == References == {{#RefList:}} [[Categor...")
- 11:40, 30 May 2012 (diff | hist) N Forms and chain complexes I (Ex) (Created page with "<wikitex>; Show that $0$-dimensional symmetric algebraic Poincare complexes correspond to non-degenerate symmetric forms. </wikitex> == References == {{#RefList:}} [[Category:...")
- 11:38, 30 May 2012 (diff | hist) N Formations and chain complexes I (Created page with "<wikitex>; Show that $1$-dimensional symmetric/quadratic algebraic Poincare complexes correspond to non-degenerate symmetric/quadratic formations. See section 2 of {{cite|Ran...") (top)
- 11:34, 29 May 2012 (diff | hist) Oberwolfach Surgery Seminar 2012: Exercises
- 11:31, 29 May 2012 (diff | hist) Novikov additivity I (Ex)
- 11:29, 29 May 2012 (diff | hist) N Algebraic surgery X (Ex) (Created page with "<wikitex>; Let $(f,b) \colon M \rightarrow X$ be a degree one normal map of $n$-GPC. Denote by $\nu_M$, $\nu_X$ the respective SNFs. We form the $(n+1)$-dimensional geometric ...")
- 11:18, 29 May 2012 (diff | hist) N Novikov additivity II (Ex) (Created page with "<wikitex>; This is an exercise in Novikov additivity for normal complexes. Let $(Y,X)$ be a $2n$-dimensional Poincare pair with the fundametal class $[Y]$ which maps to the f...") (top)
- 10:09, 29 May 2012 (diff | hist) Novikov additivity I (Ex)
- 10:05, 29 May 2012 (diff | hist) Novikov additivity I (Ex)
- 10:03, 29 May 2012 (diff | hist) N Novikov additivity I (Ex) (Created page with "<wikitex>; Let $(Y,X)$ be a $2n$-dimensional manifold with boundary, $n = 2k$. Consider the homomorphism $\varphi \colon H^{n} (Y,X) \rightarrow H^{n} (X)$ and denote $\wideha...")
- 17:01, 28 May 2012 (diff | hist) Oberwolfach Surgery Seminar 2012: Exercises
- 16:57, 28 May 2012 (diff | hist) N Surgery obstruction map I (Ex) (Created page with "<wikitex>; Show that the surgery obstruction map $$ \theta \colon \mathcal{N} (X) \rightarrow L_{n} (\Zz [\pi_1 (X)]) $$ is not in general a homomorphism of abelian groups, wh...")
- 13:57, 22 May 2012 (diff | hist) N Supplement III (Ex) (Created page with "<wikitex>; Denote $N(\sigma) = N \cap (|D(\sigma,K)| \ast |\overline K|)$ for $\sigma \in K$. Then we have the dissection $N = \cup_{\sigma \in K} N(\sigma)$. Show that the re...") (top)
- 13:56, 22 May 2012 (diff | hist) N Supplement II (Ex) (Created page with "<wikitex>; Let $K \subseteq L$ be a simplicial subcomplex. The supplement is a subcomplex $\overline{K} \subseteq L'$. Construct an embedding $|L| \subset |K'| \ast |\overline...")
- 13:54, 22 May 2012 (diff | hist) N Supplement I (Ex) (Created page with "<wikitex>; Let $K \subset \partial \Delta^{m+1}$ and define $\Sigma^m$ as in the lecture. Show that if we consider $K' \subset (\Sigma^m)'$ then we have the identification $$ ...")
- 12:30, 22 May 2012 (diff | hist) N Chain duality VII (Ex) (Created page with "<wikitex>; Show that the homotopy classes of $(n+1)$-dimensional cobordisms of chain complexes in $\Bb(\Aa(R))$ are in one-to-one correspondence with the homotopy classes of $...")
- 12:29, 22 May 2012 (diff | hist) N Chain duality VI (Ex) (Created page with "<wikitex>; Check that the contravariant functors $T \colon \Aa^{\ast} (K) \rightarrow \Bb (\Aa^{\ast} (K))$ and $T \colon \Aa_{\ast} (K) \rightarrow \Bb (\Aa_{\ast} (K))$ defi...")
- 12:28, 22 May 2012 (diff | hist) N Chain duality V (Ex) (Created page with "<wikitex>; Let $\Aa$ be an additive category with chain duality $(T,e)$. Show that under the isomorphism $$ T_{M,TM} \colon M \otimes_{\Aa} TM \rightarrow TM \otimes_{\Aa} M ...")
- 12:27, 22 May 2012 (diff | hist) N Chain duality IV (Ex) (Created page with "<wikitex>; Show that for $M$, $N$ in $\Zz_\ast (K)$ we have $$ (M \otimes_{\Zz_\ast (K)} N)_{r} = \sum_{\sigma \in K} \sum_{\sigma \leq \lambda,\mu} (M(\lambda) \otimes_{\Zz}...")
- 12:26, 22 May 2012 (diff | hist) N Chain duality III (Ex) (Created page with "<wikitex>; Let $F \colon \Aa \rightarrow \Aa'$ be a functor of additive categories with chain duality. Show that the assignment $$ M \otimes_{\Aa} N \rightarrow F(M) \otimes_...")

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