Vhdl error 10327 - can't determine definition of operator ""&"" -- found 0 possible definitions
With a couple of fixes and creating a Minimal, Complete and Verifiable Example:

library ieee;
use ieee.std_logic_1164.all;
use ieee.numeric_std.all;

entity atomh33ls is
port (
    input1: in std_logic_vector(1 to 1)
    );

end entity;
architecture foo of atomh33ls is
    type signed1x13 is array (1 to 1) of signed (12 downto 0);
    signal   temp   : signed1x13;
-- defined elsewhere: type signed1x13   is array (1 to 1) of signed(12 downto 0);

begin
    process
        variable slice : signed(12 downto 0);
    begin
        slice := temp(1); 
        temp &lt;= slice(11 downto 0) &amp; signed(input1); 
        wait;
    end process;
end architecture;


Your code snippet was converted to a complete entity and architecture pair and the creation of a process where a variable can be declared. 

The two fixes are the assignment to variable slice in the process where the index (0) is out of bounds for the type declaration used for temp, corrected to (1) and a type conversion from std_logic_vector to signed in the assignment to temp.

This expanded code example analyzes.

The original issue being there is no concatenation operator for a left operand of signed and a right operand of std_logic_vector. Fixing that with the type conversion to signed revealed the static bounds violation (temp(0)).